What is the Greatest Common Factor of 36154 and 36160?

Greatest common factor (GCF) of 36154 and 36160 is 2.

GCF(36154,36160) = 2

We will now calculate the prime factors of 36154 and 36160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36154 and 36160.

How to find the GCF of 36154 and 36160?

We will first find the prime factorization of 36154 and 36160. After we will calculate the factors of 36154 and 36160 and find the biggest common factor number .

Step-1: Prime Factorization of 36154

Prime factors of 36154 are 2, 18077. Prime factorization of 36154 in exponential form is:

36154 = 2¹ × 18077¹

Step-2: Prime Factorization of 36160

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

36160 = 2⁶ × 5¹ × 113¹

Step-3: Factors of 36154

List of positive integer factors of 36154 that divides 36154 without a remainder.

1, 2, 18077

Step-4: Factors of 36160

List of positive integer factors of 36160 that divides 36154 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36154 and 36160. The biggest common factor number is the GCF number.
So the greatest common factor 36154 and 36160 is 2.

Also check out the Least Common Multiple of 36154 and 36160