Greatest Common Factor of 73408 and 73416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 73408, 73416 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 73408 and 73416 is 8.

GCF(73408,73416) = 8

GCF of 73408 and 73416

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 73408 and 73416

GCF of 73408 and 73416 is 8

Prime Factorization of 73408


2 73408
2 36704
2 18352
2 9176
2 4588
2 2294
31 1147
37 37
1

Prime factors of 73408 are 2,31,37. Prime factorization of 73408 in exponential form is:

73408 = 26×311×371

Prime Factorization of 73416


2 73416
2 36708
2 18354
3 9177
7 3059
19 437
23 23
1

Prime factors of 73416 are 2,3,7,19,23. Prime factorization of 73416 in exponential form is:

73416 = 23×31×71×191×231

∴ So by taking common prime factors GCF of 73408 and 73416 is 8

Greatest Common Factor of 73408 and 73416 by matching factors method

Factors of 73408

List of positive integer factors of 73408 that divides 73408 without a remainder.

1,2,4,8,16,31,32,37,62,64,74,124,148,248,296,496,592,992,1147,1184,1984,2294,2368,4588,9176,18352,36704,73408

Factors of 73416

List of positive integer factors of 73416 that divides 73416 without a remainder.

1,2,3,4,6,7,8,12,14,19,21,23,24,28,38,42,46,56,57,69,76,84,92,114,133,138,152,161,168,184,228,266,276,322,399,437,456,483,532,552,644,798,874,966,1064,1288,1311,1596,1748,1932,2622,3059,3192,3496,3864,5244,6118,9177,10488,12236,18354,24472,36708,73416

Greatest Common Factor

We found the factors and prime factorization of 73408 and 73416. The biggest common factor number is the GCF number.
So the greatest common factor 73408 and 73416 is 8.

Also check out the Least Common Multiple of 73408 and 73416

Properties of GCF 73408 and 73416

(i) The GCF of 73408 and 73416 is associative

GCF of 73408 and 73416 = GCF of 73416 and 73408

Related Greatest Common Factor of 73408

Related Greatest Common Factor of 73416

Frequently Asked Questions on GCF of 73408 and 73416

1. What is the GCF of 73408 and 73416?

Answer: GCF of 73408 and 73416 is 8.

2. What are the Factors of 73408?

Answer: Factors of 73408 are 1, 2, 4, 8, 16, 31, 32, 37, 62, 64, 74, 124, 148, 248, 296, 496, 592, 992, 1147, 1184, 1984, 2294, 2368, 4588, 9176, 18352, 36704, 73408. There are 28 integers that are factors of 73408. The greatest factor of 73408 is 73408.

3. What are the Factors of 73416?

Answer: Factors of 73416 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 23, 24, 28, 38, 42, 46, 56, 57, 69, 76, 84, 92, 114, 133, 138, 152, 161, 168, 184, 228, 266, 276, 322, 399, 437, 456, 483, 532, 552, 644, 798, 874, 966, 1064, 1288, 1311, 1596, 1748, 1932, 2622, 3059, 3192, 3496, 3864, 5244, 6118, 9177, 10488, 12236, 18354, 24472, 36708, 73416. There are 64 integers that are factors of 73416. The greatest factor of 73416 is 73416.

4. How to Find the GCF of 73408 and 73416?

Answer:

Greatest Common Factor of 73408 and 73416 = 8

Step 1: Find the prime factorization of 73408

73408 = 2 x 2 x 2 x 2 x 2 x 2 x 31 x 37

Step 2: Find the prime factorization of 73416

73416 = 2 x 2 x 2 x 3 x 7 x 19 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 73408 and 73416 is 8