What is the Greatest Common Factor of 53156 and 53167?

Greatest common factor (GCF) of 53156 and 53167 is 1.

GCF(53156,53167) = 1

We will now calculate the prime factors of 53156 and 53167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53156 and 53167.

How to find the GCF of 53156 and 53167?

We will first find the prime factorization of 53156 and 53167. After we will calculate the factors of 53156 and 53167 and find the biggest common factor number .

Step-1: Prime Factorization of 53156

Prime factors of 53156 are 2, 97, 137. Prime factorization of 53156 in exponential form is:

53156 = 2² × 97¹ × 137¹

Step-2: Prime Factorization of 53167

Prime factors of 53167 are 79, 673. Prime factorization of 53167 in exponential form is:

53167 = 79¹ × 673¹

Step-3: Factors of 53156

List of positive integer factors of 53156 that divides 53156 without a remainder.

1, 2, 4, 97, 137, 194, 274, 388, 548, 13289, 26578

Step-4: Factors of 53167

List of positive integer factors of 53167 that divides 53156 without a remainder.

1, 79, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53156 and 53167. The biggest common factor number is the GCF number.
So the greatest common factor 53156 and 53167 is 1.

Also check out the Least Common Multiple of 53156 and 53167