What is the Greatest Common Factor of 40625 and 40638?

Greatest common factor (GCF) of 40625 and 40638 is 13.

GCF(40625,40638) = 13

We will now calculate the prime factors of 40625 and 40638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40625 and 40638.

How to find the GCF of 40625 and 40638?

We will first find the prime factorization of 40625 and 40638. After we will calculate the factors of 40625 and 40638 and find the biggest common factor number .

Step-1: Prime Factorization of 40625

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

40625 = 5⁵ × 13¹

Step-2: Prime Factorization of 40638

Prime factors of 40638 are 2, 3, 13, 521. Prime factorization of 40638 in exponential form is:

40638 = 2¹ × 3¹ × 13¹ × 521¹

Step-3: Factors of 40625

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

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

Step-4: Factors of 40638

List of positive integer factors of 40638 that divides 40625 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 521, 1042, 1563, 3126, 6773, 13546, 20319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40625 and 40638. The biggest common factor number is the GCF number.
So the greatest common factor 40625 and 40638 is 13.

Also check out the Least Common Multiple of 40625 and 40638