What is the Greatest Common Factor of 36160 and 36167?

Greatest common factor (GCF) of 36160 and 36167 is 1.

GCF(36160,36167) = 1

We will now calculate the prime factors of 36160 and 36167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36160 and 36167.

How to find the GCF of 36160 and 36167?

We will first find the prime factorization of 36160 and 36167. After we will calculate the factors of 36160 and 36167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36167

Prime factors of 36167 are 59, 613. Prime factorization of 36167 in exponential form is:

36167 = 59¹ × 613¹

Step-3: 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

Step-4: Factors of 36167

List of positive integer factors of 36167 that divides 36160 without a remainder.

1, 59, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36160 and 36167. The biggest common factor number is the GCF number.
So the greatest common factor 36160 and 36167 is 1.

Also check out the Least Common Multiple of 36160 and 36167