Greatest Common Factor of 36152 and 36160

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 36152, 36160 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36152 and 36160 is 8.

GCF(36152,36160) = 8

GCF of 36152 and 36160

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

GCF of:
and

Greatest Common Factor of 36152 and 36160

GCF of 36152 and 36160 is 8

Prime Factorization of 36152


2 36152
2 18076
2 9038
4519 4519
1

Prime factors of 36152 are 2,4519. Prime factorization of 36152 in exponential form is:

36152 = 23×45191

Prime Factorization of 36160


2 36160
2 18080
2 9040
2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 36160 are 2,5,113. Prime factorization of 36160 in exponential form is:

36160 = 26×51×1131

∴ So by taking common prime factors GCF of 36152 and 36160 is 8

Greatest Common Factor of 36152 and 36160 by matching factors method

Factors of 36152

List of positive integer factors of 36152 that divides 36152 without a remainder.

1,2,4,8,4519,9038,18076,36152

Factors of 36160

List of positive integer factors of 36160 that divides 36160 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,113,160,226,320,452,565,904,1130,1808,2260,3616,4520,7232,9040,18080,36160

Greatest Common Factor

We found the factors and prime factorization of 36152 and 36160. The biggest common factor number is the GCF number.
So the greatest common factor 36152 and 36160 is 8.

Also check out the Least Common Multiple of 36152 and 36160

Properties of GCF 36152 and 36160

(i) The GCF of 36152 and 36160 is associative

GCF of 36152 and 36160 = GCF of 36160 and 36152

Related Greatest Common Factor of 36152

Related Greatest Common Factor of 36160

Frequently Asked Questions on GCF of 36152 and 36160

1. What is the GCF of 36152 and 36160?

Answer: GCF of 36152 and 36160 is 8.

2. What are the Factors of 36152?

Answer: Factors of 36152 are 1, 2, 4, 8, 4519, 9038, 18076, 36152. There are 8 integers that are factors of 36152. The greatest factor of 36152 is 36152.

3. What are the Factors of 36160?

Answer: Factors of 36160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 113, 160, 226, 320, 452, 565, 904, 1130, 1808, 2260, 3616, 4520, 7232, 9040, 18080, 36160. There are 28 integers that are factors of 36160. The greatest factor of 36160 is 36160.

4. How to Find the GCF of 36152 and 36160?

Answer:

Greatest Common Factor of 36152 and 36160 = 8

Step 1: Find the prime factorization of 36152

36152 = 2 x 2 x 2 x 4519

Step 2: Find the prime factorization of 36160

36160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 113

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 36152 and 36160 is 8