What is the Greatest Common Factor of 53625 and 53635?

Greatest common factor (GCF) of 53625 and 53635 is 5.

GCF(53625,53635) = 5

We will now calculate the prime factors of 53625 and 53635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53625 and 53635.

How to find the GCF of 53625 and 53635?

We will first find the prime factorization of 53625 and 53635. After we will calculate the factors of 53625 and 53635 and find the biggest common factor number .

Step-1: Prime Factorization of 53625

Prime factors of 53625 are 3, 5, 11, 13. Prime factorization of 53625 in exponential form is:

53625 = 3¹ × 5³ × 11¹ × 13¹

Step-2: Prime Factorization of 53635

Prime factors of 53635 are 5, 17, 631. Prime factorization of 53635 in exponential form is:

53635 = 5¹ × 17¹ × 631¹

Step-3: Factors of 53625

List of positive integer factors of 53625 that divides 53625 without a remainder.

1, 3, 5, 11, 13, 15, 25, 33, 39, 55, 65, 75, 125, 143, 165, 195, 275, 325, 375, 429, 715, 825, 975, 1375, 1625, 2145, 3575, 4125, 4875, 10725, 17875

Step-4: Factors of 53635

List of positive integer factors of 53635 that divides 53625 without a remainder.

1, 5, 17, 85, 631, 3155, 10727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53625 and 53635. The biggest common factor number is the GCF number.
So the greatest common factor 53625 and 53635 is 5.

Also check out the Least Common Multiple of 53625 and 53635