What is the Greatest Common Factor of 40625 and 40640?

Greatest common factor (GCF) of 40625 and 40640 is 5.

GCF(40625,40640) = 5

We will now calculate the prime factors of 40625 and 40640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40625 and 40640.

How to find the GCF of 40625 and 40640?

We will first find the prime factorization of 40625 and 40640. After we will calculate the factors of 40625 and 40640 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 40640

Prime factors of 40640 are 2, 5, 127. Prime factorization of 40640 in exponential form is:

40640 = 2⁶ × 5¹ × 127¹

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 40640

List of positive integer factors of 40640 that divides 40625 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 127, 160, 254, 320, 508, 635, 1016, 1270, 2032, 2540, 4064, 5080, 8128, 10160, 20320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40625 and 40640. The biggest common factor number is the GCF number.
So the greatest common factor 40625 and 40640 is 5.

Also check out the Least Common Multiple of 40625 and 40640