What is the Greatest Common Factor of 40625 and 40629?

Greatest common factor (GCF) of 40625 and 40629 is 1.

GCF(40625,40629) = 1

We will now calculate the prime factors of 40625 and 40629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40625 and 40629.

How to find the GCF of 40625 and 40629?

We will first find the prime factorization of 40625 and 40629. After we will calculate the factors of 40625 and 40629 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 40629

Prime factors of 40629 are 3, 29, 467. Prime factorization of 40629 in exponential form is:

40629 = 3¹ × 29¹ × 467¹

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 40629

List of positive integer factors of 40629 that divides 40625 without a remainder.

1, 3, 29, 87, 467, 1401, 13543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40625 and 40629. The biggest common factor number is the GCF number.
So the greatest common factor 40625 and 40629 is 1.

Also check out the Least Common Multiple of 40625 and 40629