Greatest Common Factor of 35164 and 35172

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 35164, 35172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35164 and 35172 is 4.

GCF(35164,35172) = 4

GCF of 35164 and 35172

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

GCF of:
and

Greatest Common Factor of 35164 and 35172

GCF of 35164 and 35172 is 4

Prime Factorization of 35164


2 35164
2 17582
59 8791
149 149
1

Prime factors of 35164 are 2,59,149. Prime factorization of 35164 in exponential form is:

35164 = 22×591×1491

Prime Factorization of 35172


2 35172
2 17586
3 8793
3 2931
977 977
1

Prime factors of 35172 are 2,3,977. Prime factorization of 35172 in exponential form is:

35172 = 22×32×9771

∴ So by taking common prime factors GCF of 35164 and 35172 is 4

Greatest Common Factor of 35164 and 35172 by matching factors method

Factors of 35164

List of positive integer factors of 35164 that divides 35164 without a remainder.

1,2,4,59,118,149,236,298,596,8791,17582,35164

Factors of 35172

List of positive integer factors of 35172 that divides 35172 without a remainder.

1,2,3,4,6,9,12,18,36,977,1954,2931,3908,5862,8793,11724,17586,35172

Greatest Common Factor

We found the factors and prime factorization of 35164 and 35172. The biggest common factor number is the GCF number.
So the greatest common factor 35164 and 35172 is 4.

Also check out the Least Common Multiple of 35164 and 35172

Properties of GCF 35164 and 35172

(i) The GCF of 35164 and 35172 is associative

GCF of 35164 and 35172 = GCF of 35172 and 35164

Related Greatest Common Factor of 35164

Related Greatest Common Factor of 35172

Frequently Asked Questions on GCF of 35164 and 35172

1. What is the GCF of 35164 and 35172?

Answer: GCF of 35164 and 35172 is 4.

2. What are the Factors of 35164?

Answer: Factors of 35164 are 1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582, 35164. There are 12 integers that are factors of 35164. The greatest factor of 35164 is 35164.

3. What are the Factors of 35172?

Answer: Factors of 35172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172. There are 18 integers that are factors of 35172. The greatest factor of 35172 is 35172.

4. How to Find the GCF of 35164 and 35172?

Answer:

Greatest Common Factor of 35164 and 35172 = 4

Step 1: Find the prime factorization of 35164

35164 = 2 x 2 x 59 x 149

Step 2: Find the prime factorization of 35172

35172 = 2 x 2 x 3 x 3 x 977

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 35164 and 35172 is 4