What is the Greatest Common Factor of 1612 and 1625?

Greatest common factor (GCF) of 1612 and 1625 is 13.

GCF(1612,1625) = 13

We will now calculate the prime factors of 1612 and 1625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1612 and 1625.

How to find the GCF of 1612 and 1625?

We will first find the prime factorization of 1612 and 1625. After we will calculate the factors of 1612 and 1625 and find the biggest common factor number .

Step-1: Prime Factorization of 1612

Prime factors of 1612 are 2, 13, 31. Prime factorization of 1612 in exponential form is:

1612 = 2² × 13¹ × 31¹

Step-2: Prime Factorization of 1625

Prime factors of 1625 are 5, 13. Prime factorization of 1625 in exponential form is:

1625 = 5³ × 13¹

Step-3: Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806

Step-4: Factors of 1625

List of positive integer factors of 1625 that divides 1612 without a remainder.

1, 5, 13, 25, 65, 125, 325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1612 and 1625. The biggest common factor number is the GCF number.
So the greatest common factor 1612 and 1625 is 13.

Also check out the Least Common Multiple of 1612 and 1625