Greatest Common Factor of 66976 and 66983

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 66976, 66983 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66976 and 66983 is 7.

GCF(66976,66983) = 7

GCF of 66976 and 66983

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

GCF of:
and

Greatest Common Factor of 66976 and 66983

GCF of 66976 and 66983 is 7

Prime Factorization of 66976


2 66976
2 33488
2 16744
2 8372
2 4186
7 2093
13 299
23 23
1

Prime factors of 66976 are 2,7,13,23. Prime factorization of 66976 in exponential form is:

66976 = 25×71×131×231

Prime Factorization of 66983


7 66983
7 9569
1367 1367
1

Prime factors of 66983 are 7,1367. Prime factorization of 66983 in exponential form is:

66983 = 72×13671

∴ So by taking common prime factors GCF of 66976 and 66983 is 7

Greatest Common Factor of 66976 and 66983 by matching factors method

Factors of 66976

List of positive integer factors of 66976 that divides 66976 without a remainder.

1,2,4,7,8,13,14,16,23,26,28,32,46,52,56,91,92,104,112,161,182,184,208,224,299,322,364,368,416,598,644,728,736,1196,1288,1456,2093,2392,2576,2912,4186,4784,5152,8372,9568,16744,33488,66976

Factors of 66983

List of positive integer factors of 66983 that divides 66983 without a remainder.

1,7,49,1367,9569,66983

Greatest Common Factor

We found the factors and prime factorization of 66976 and 66983. The biggest common factor number is the GCF number.
So the greatest common factor 66976 and 66983 is 7.

Also check out the Least Common Multiple of 66976 and 66983

Properties of GCF 66976 and 66983

(i) The GCF of 66976 and 66983 is associative

GCF of 66976 and 66983 = GCF of 66983 and 66976

Related Greatest Common Factor of 66976

Related Greatest Common Factor of 66983

Frequently Asked Questions on GCF of 66976 and 66983

1. What is the GCF of 66976 and 66983?

Answer: GCF of 66976 and 66983 is 7.

2. What are the Factors of 66976?

Answer: Factors of 66976 are 1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 32, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 224, 299, 322, 364, 368, 416, 598, 644, 728, 736, 1196, 1288, 1456, 2093, 2392, 2576, 2912, 4186, 4784, 5152, 8372, 9568, 16744, 33488, 66976. There are 48 integers that are factors of 66976. The greatest factor of 66976 is 66976.

3. What are the Factors of 66983?

Answer: Factors of 66983 are 1, 7, 49, 1367, 9569, 66983. There are 6 integers that are factors of 66983. The greatest factor of 66983 is 66983.

4. How to Find the GCF of 66976 and 66983?

Answer:

Greatest Common Factor of 66976 and 66983 = 7

Step 1: Find the prime factorization of 66976

66976 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 23

Step 2: Find the prime factorization of 66983

66983 = 7 x 7 x 1367

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

GCF = 7

Step 4: Therefore, the greatest common factor of 66976 and 66983 is 7