What is the Greatest Common Factor of 63605 and 63625?

Greatest common factor (GCF) of 63605 and 63625 is 5.

GCF(63605,63625) = 5

We will now calculate the prime factors of 63605 and 63625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63605 and 63625.

How to find the GCF of 63605 and 63625?

We will first find the prime factorization of 63605 and 63625. After we will calculate the factors of 63605 and 63625 and find the biggest common factor number .

Step-1: Prime Factorization of 63605

Prime factors of 63605 are 5, 12721. Prime factorization of 63605 in exponential form is:

63605 = 5¹ × 12721¹

Step-2: Prime Factorization of 63625

Prime factors of 63625 are 5, 509. Prime factorization of 63625 in exponential form is:

63625 = 5³ × 509¹

Step-3: Factors of 63605

List of positive integer factors of 63605 that divides 63605 without a remainder.

1, 5, 12721

Step-4: Factors of 63625

List of positive integer factors of 63625 that divides 63605 without a remainder.

1, 5, 25, 125, 509, 2545, 12725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63605 and 63625. The biggest common factor number is the GCF number.
So the greatest common factor 63605 and 63625 is 5.

Also check out the Least Common Multiple of 63605 and 63625