What is the Greatest Common Factor of 31157 and 31164?

Greatest common factor (GCF) of 31157 and 31164 is 7.

GCF(31157,31164) = 7

We will now calculate the prime factors of 31157 and 31164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31157 and 31164.

How to find the GCF of 31157 and 31164?

We will first find the prime factorization of 31157 and 31164. After we will calculate the factors of 31157 and 31164 and find the biggest common factor number .

Step-1: Prime Factorization of 31157

Prime factors of 31157 are 7, 4451. Prime factorization of 31157 in exponential form is:

31157 = 7¹ × 4451¹

Step-2: Prime Factorization of 31164

Prime factors of 31164 are 2, 3, 7, 53. Prime factorization of 31164 in exponential form is:

31164 = 2² × 3¹ × 7² × 53¹

Step-3: Factors of 31157

List of positive integer factors of 31157 that divides 31157 without a remainder.

1, 7, 4451

Step-4: Factors of 31164

List of positive integer factors of 31164 that divides 31157 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 53, 84, 98, 106, 147, 159, 196, 212, 294, 318, 371, 588, 636, 742, 1113, 1484, 2226, 2597, 4452, 5194, 7791, 10388, 15582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31157 and 31164. The biggest common factor number is the GCF number.
So the greatest common factor 31157 and 31164 is 7.

Also check out the Least Common Multiple of 31157 and 31164