What is the Greatest Common Factor of 40612 and 40625?

Greatest common factor (GCF) of 40612 and 40625 is 13.

GCF(40612,40625) = 13

We will now calculate the prime factors of 40612 and 40625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40612 and 40625.

How to find the GCF of 40612 and 40625?

We will first find the prime factorization of 40612 and 40625. After we will calculate the factors of 40612 and 40625 and find the biggest common factor number .

Step-1: Prime Factorization of 40612

Prime factors of 40612 are 2, 11, 13, 71. Prime factorization of 40612 in exponential form is:

40612 = 2² × 11¹ × 13¹ × 71¹

Step-2: Prime Factorization of 40625

Prime factors of 40625 are 5, 13. Prime factorization of 40625 in exponential form is:

40625 = 5⁵ × 13¹

Step-3: Factors of 40612

List of positive integer factors of 40612 that divides 40612 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 71, 142, 143, 284, 286, 572, 781, 923, 1562, 1846, 3124, 3692, 10153, 20306

Step-4: Factors of 40625

List of positive integer factors of 40625 that divides 40612 without a remainder.

1, 5, 13, 25, 65, 125, 325, 625, 1625, 3125, 8125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40612 and 40625. The biggest common factor number is the GCF number.
So the greatest common factor 40612 and 40625 is 13.

Also check out the Least Common Multiple of 40612 and 40625