What is the Greatest Common Factor of 31625 and 31636?

Greatest common factor (GCF) of 31625 and 31636 is 11.

GCF(31625,31636) = 11

We will now calculate the prime factors of 31625 and 31636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31625 and 31636.

How to find the GCF of 31625 and 31636?

We will first find the prime factorization of 31625 and 31636. After we will calculate the factors of 31625 and 31636 and find the biggest common factor number .

Step-1: Prime Factorization of 31625

Prime factors of 31625 are 5, 11, 23. Prime factorization of 31625 in exponential form is:

31625 = 5³ × 11¹ × 23¹

Step-2: Prime Factorization of 31636

Prime factors of 31636 are 2, 11, 719. Prime factorization of 31636 in exponential form is:

31636 = 2² × 11¹ × 719¹

Step-3: Factors of 31625

List of positive integer factors of 31625 that divides 31625 without a remainder.

1, 5, 11, 23, 25, 55, 115, 125, 253, 275, 575, 1265, 1375, 2875, 6325

Step-4: Factors of 31636

List of positive integer factors of 31636 that divides 31625 without a remainder.

1, 2, 4, 11, 22, 44, 719, 1438, 2876, 7909, 15818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31625 and 31636. The biggest common factor number is the GCF number.
So the greatest common factor 31625 and 31636 is 11.

Also check out the Least Common Multiple of 31625 and 31636