What is the Greatest Common Factor of 36149 and 36160?

Greatest common factor (GCF) of 36149 and 36160 is 1.

GCF(36149,36160) = 1

We will now calculate the prime factors of 36149 and 36160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36149 and 36160.

How to find the GCF of 36149 and 36160?

We will first find the prime factorization of 36149 and 36160. After we will calculate the factors of 36149 and 36160 and find the biggest common factor number .

Step-1: Prime Factorization of 36149

Prime factors of 36149 are 37, 977. Prime factorization of 36149 in exponential form is:

36149 = 37¹ × 977¹

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 36149

List of positive integer factors of 36149 that divides 36149 without a remainder.

1, 37, 977

Step-4: Factors of 36160

List of positive integer factors of 36160 that divides 36149 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 36149 and 36160. The biggest common factor number is the GCF number.
So the greatest common factor 36149 and 36160 is 1.

Also check out the Least Common Multiple of 36149 and 36160