What is the Greatest Common Factor of 63625 and 63635?

Greatest common factor (GCF) of 63625 and 63635 is 5.

GCF(63625,63635) = 5

We will now calculate the prime factors of 63625 and 63635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63625 and 63635.

How to find the GCF of 63625 and 63635?

We will first find the prime factorization of 63625 and 63635. After we will calculate the factors of 63625 and 63635 and find the biggest common factor number .

Step-1: Prime Factorization of 63625

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

63625 = 5³ × 509¹

Step-2: Prime Factorization of 63635

Prime factors of 63635 are 5, 11, 13, 89. Prime factorization of 63635 in exponential form is:

63635 = 5¹ × 11¹ × 13¹ × 89¹

Step-3: Factors of 63625

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

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

Step-4: Factors of 63635

List of positive integer factors of 63635 that divides 63625 without a remainder.

1, 5, 11, 13, 55, 65, 89, 143, 445, 715, 979, 1157, 4895, 5785, 12727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63625 and 63635. The biggest common factor number is the GCF number.
So the greatest common factor 63625 and 63635 is 5.

Also check out the Least Common Multiple of 63625 and 63635