What is the Greatest Common Factor of 31115 and 31122?

Greatest common factor (GCF) of 31115 and 31122 is 7.

GCF(31115,31122) = 7

We will now calculate the prime factors of 31115 and 31122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31115 and 31122.

How to find the GCF of 31115 and 31122?

We will first find the prime factorization of 31115 and 31122. After we will calculate the factors of 31115 and 31122 and find the biggest common factor number .

Step-1: Prime Factorization of 31115

Prime factors of 31115 are 5, 7, 127. Prime factorization of 31115 in exponential form is:

31115 = 5¹ × 7² × 127¹

Step-2: Prime Factorization of 31122

Prime factors of 31122 are 2, 3, 7, 13, 19. Prime factorization of 31122 in exponential form is:

31122 = 2¹ × 3² × 7¹ × 13¹ × 19¹

Step-3: Factors of 31115

List of positive integer factors of 31115 that divides 31115 without a remainder.

1, 5, 7, 35, 49, 127, 245, 635, 889, 4445, 6223

Step-4: Factors of 31122

List of positive integer factors of 31122 that divides 31115 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 19, 21, 26, 38, 39, 42, 57, 63, 78, 91, 114, 117, 126, 133, 171, 182, 234, 247, 266, 273, 342, 399, 494, 546, 741, 798, 819, 1197, 1482, 1638, 1729, 2223, 2394, 3458, 4446, 5187, 10374, 15561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31115 and 31122. The biggest common factor number is the GCF number.
So the greatest common factor 31115 and 31122 is 7.

Also check out the Least Common Multiple of 31115 and 31122