What is the Greatest Common Factor of 63625 and 63630?

Greatest common factor (GCF) of 63625 and 63630 is 5.

GCF(63625,63630) = 5

We will now calculate the prime factors of 63625 and 63630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63625 and 63630.

How to find the GCF of 63625 and 63630?

We will first find the prime factorization of 63625 and 63630. After we will calculate the factors of 63625 and 63630 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 63630

Prime factors of 63630 are 2, 3, 5, 7, 101. Prime factorization of 63630 in exponential form is:

63630 = 2¹ × 3² × 5¹ × 7¹ × 101¹

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 63630

List of positive integer factors of 63630 that divides 63625 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 101, 105, 126, 202, 210, 303, 315, 505, 606, 630, 707, 909, 1010, 1414, 1515, 1818, 2121, 3030, 3535, 4242, 4545, 6363, 7070, 9090, 10605, 12726, 21210, 31815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63625 and 63630. The biggest common factor number is the GCF number.
So the greatest common factor 63625 and 63630 is 5.

Also check out the Least Common Multiple of 63625 and 63630