What is the Greatest Common Factor of 31510 and 31528?

Greatest common factor (GCF) of 31510 and 31528 is 2.

GCF(31510,31528) = 2

We will now calculate the prime factors of 31510 and 31528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31510 and 31528.

How to find the GCF of 31510 and 31528?

We will first find the prime factorization of 31510 and 31528. After we will calculate the factors of 31510 and 31528 and find the biggest common factor number .

Step-1: Prime Factorization of 31510

Prime factors of 31510 are 2, 5, 23, 137. Prime factorization of 31510 in exponential form is:

31510 = 2¹ × 5¹ × 23¹ × 137¹

Step-2: Prime Factorization of 31528

Prime factors of 31528 are 2, 7, 563. Prime factorization of 31528 in exponential form is:

31528 = 2³ × 7¹ × 563¹

Step-3: Factors of 31510

List of positive integer factors of 31510 that divides 31510 without a remainder.

1, 2, 5, 10, 23, 46, 115, 137, 230, 274, 685, 1370, 3151, 6302, 15755

Step-4: Factors of 31528

List of positive integer factors of 31528 that divides 31510 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 563, 1126, 2252, 3941, 4504, 7882, 15764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31510 and 31528. The biggest common factor number is the GCF number.
So the greatest common factor 31510 and 31528 is 2.

Also check out the Least Common Multiple of 31510 and 31528