What is the Greatest Common Factor of 31614 and 31625?

Greatest common factor (GCF) of 31614 and 31625 is 11.

GCF(31614,31625) = 11

We will now calculate the prime factors of 31614 and 31625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31614 and 31625.

How to find the GCF of 31614 and 31625?

We will first find the prime factorization of 31614 and 31625. After we will calculate the factors of 31614 and 31625 and find the biggest common factor number .

Step-1: Prime Factorization of 31614

Prime factors of 31614 are 2, 3, 11, 479. Prime factorization of 31614 in exponential form is:

31614 = 2¹ × 3¹ × 11¹ × 479¹

Step-2: 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-3: Factors of 31614

List of positive integer factors of 31614 that divides 31614 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 479, 958, 1437, 2874, 5269, 10538, 15807

Step-4: Factors of 31625

List of positive integer factors of 31625 that divides 31614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31614 and 31625. The biggest common factor number is the GCF number.
So the greatest common factor 31614 and 31625 is 11.

Also check out the Least Common Multiple of 31614 and 31625