Greatest Common Factor of 89148 and 89152

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 89148, 89152 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89148 and 89152 is 4.

GCF(89148,89152) = 4

GCF of 89148 and 89152

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

GCF of:
and

Greatest Common Factor of 89148 and 89152

GCF of 89148 and 89152 is 4

Prime Factorization of 89148


2 89148
2 44574
3 22287
17 7429
19 437
23 23
1

Prime factors of 89148 are 2,3,17,19,23. Prime factorization of 89148 in exponential form is:

89148 = 22×31×171×191×231

Prime Factorization of 89152


2 89152
2 44576
2 22288
2 11144
2 5572
2 2786
7 1393
199 199
1

Prime factors of 89152 are 2,7,199. Prime factorization of 89152 in exponential form is:

89152 = 26×71×1991

∴ So by taking common prime factors GCF of 89148 and 89152 is 4

Greatest Common Factor of 89148 and 89152 by matching factors method

Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1,2,3,4,6,12,17,19,23,34,38,46,51,57,68,69,76,92,102,114,138,204,228,276,323,391,437,646,782,874,969,1173,1292,1311,1564,1748,1938,2346,2622,3876,4692,5244,7429,14858,22287,29716,44574,89148

Factors of 89152

List of positive integer factors of 89152 that divides 89152 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,199,224,398,448,796,1393,1592,2786,3184,5572,6368,11144,12736,22288,44576,89152

Greatest Common Factor

We found the factors and prime factorization of 89148 and 89152. The biggest common factor number is the GCF number.
So the greatest common factor 89148 and 89152 is 4.

Also check out the Least Common Multiple of 89148 and 89152

Properties of GCF 89148 and 89152

(i) The GCF of 89148 and 89152 is associative

GCF of 89148 and 89152 = GCF of 89152 and 89148

Related Greatest Common Factor of 89148

Related Greatest Common Factor of 89152

Frequently Asked Questions on GCF of 89148 and 89152

1. What is the GCF of 89148 and 89152?

Answer: GCF of 89148 and 89152 is 4.

2. What are the Factors of 89148?

Answer: Factors of 89148 are 1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574, 89148. There are 48 integers that are factors of 89148. The greatest factor of 89148 is 89148.

3. What are the Factors of 89152?

Answer: Factors of 89152 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 199, 224, 398, 448, 796, 1393, 1592, 2786, 3184, 5572, 6368, 11144, 12736, 22288, 44576, 89152. There are 28 integers that are factors of 89152. The greatest factor of 89152 is 89152.

4. How to Find the GCF of 89148 and 89152?

Answer:

Greatest Common Factor of 89148 and 89152 = 4

Step 1: Find the prime factorization of 89148

89148 = 2 x 2 x 3 x 17 x 19 x 23

Step 2: Find the prime factorization of 89152

89152 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 199

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 89148 and 89152 is 4