What is the Greatest Common Factor of 31122 and 31126?

Greatest common factor (GCF) of 31122 and 31126 is 2.

GCF(31122,31126) = 2

We will now calculate the prime factors of 31122 and 31126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31122 and 31126.

How to find the GCF of 31122 and 31126?

We will first find the prime factorization of 31122 and 31126. After we will calculate the factors of 31122 and 31126 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31126

Prime factors of 31126 are 2, 79, 197. Prime factorization of 31126 in exponential form is:

31126 = 2¹ × 79¹ × 197¹

Step-3: Factors of 31122

List of positive integer factors of 31122 that divides 31122 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

Step-4: Factors of 31126

List of positive integer factors of 31126 that divides 31122 without a remainder.

1, 2, 79, 158, 197, 394, 15563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31122 and 31126. The biggest common factor number is the GCF number.
So the greatest common factor 31122 and 31126 is 2.

Also check out the Least Common Multiple of 31122 and 31126