Greatest Common Factor of 35152 and 35157

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 35152, 35157 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35152 and 35157 is 1.

GCF(35152,35157) = 1

GCF of 35152 and 35157

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

GCF of:
and

Greatest Common Factor of 35152 and 35157

GCF of 35152 and 35157 is 1

Prime Factorization of 35152


2 35152
2 17576
2 8788
2 4394
13 2197
13 169
13 13
1

Prime factors of 35152 are 2,13. Prime factorization of 35152 in exponential form is:

35152 = 24×133

Prime Factorization of 35157


3 35157
11719 11719
1

Prime factors of 35157 are 3,11719. Prime factorization of 35157 in exponential form is:

35157 = 31×117191

∴ So by taking common prime factors GCF of 35152 and 35157 is 1

Greatest Common Factor of 35152 and 35157 by matching factors method

Factors of 35152

List of positive integer factors of 35152 that divides 35152 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2197,2704,4394,8788,17576,35152

Factors of 35157

List of positive integer factors of 35157 that divides 35157 without a remainder.

1,3,11719,35157

Greatest Common Factor

We found the factors and prime factorization of 35152 and 35157. The biggest common factor number is the GCF number.
So the greatest common factor 35152 and 35157 is 1.

Also check out the Least Common Multiple of 35152 and 35157

Properties of GCF 35152 and 35157

(i) The GCF of 35152 and 35157 is associative

GCF of 35152 and 35157 = GCF of 35157 and 35152

Frequently Asked Questions on GCF of 35152 and 35157

1. What is the GCF of 35152 and 35157?

Answer: GCF of 35152 and 35157 is 1.

2. What are the Factors of 35152?

Answer: Factors of 35152 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2197, 2704, 4394, 8788, 17576, 35152. There are 20 integers that are factors of 35152. The greatest factor of 35152 is 35152.

3. What are the Factors of 35157?

Answer: Factors of 35157 are 1, 3, 11719, 35157. There are 4 integers that are factors of 35157. The greatest factor of 35157 is 35157.

4. How to Find the GCF of 35152 and 35157?

Answer:

Greatest Common Factor of 35152 and 35157 = 1

Step 1: Find the prime factorization of 35152

35152 = 2 x 2 x 2 x 2 x 13 x 13 x 13

Step 2: Find the prime factorization of 35157

35157 = 3 x 11719

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 35152 and 35157 is 1