What is the Greatest Common Factor of 40625 and 40644?

Greatest common factor (GCF) of 40625 and 40644 is 1.

GCF(40625,40644) = 1

We will now calculate the prime factors of 40625 and 40644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40625 and 40644.

How to find the GCF of 40625 and 40644?

We will first find the prime factorization of 40625 and 40644. After we will calculate the factors of 40625 and 40644 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 40644

Prime factors of 40644 are 2, 3, 1129. Prime factorization of 40644 in exponential form is:

40644 = 2² × 3² × 1129¹

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 40644

List of positive integer factors of 40644 that divides 40625 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1129, 2258, 3387, 4516, 6774, 10161, 13548, 20322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40625 and 40644. The biggest common factor number is the GCF number.
So the greatest common factor 40625 and 40644 is 1.

Also check out the Least Common Multiple of 40625 and 40644