What is the Greatest Common Factor of 53613 and 53627?

Greatest common factor (GCF) of 53613 and 53627 is 7.

GCF(53613,53627) = 7

We will now calculate the prime factors of 53613 and 53627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53613 and 53627.

How to find the GCF of 53613 and 53627?

We will first find the prime factorization of 53613 and 53627. After we will calculate the factors of 53613 and 53627 and find the biggest common factor number .

Step-1: Prime Factorization of 53613

Prime factors of 53613 are 3, 7, 23, 37. Prime factorization of 53613 in exponential form is:

53613 = 3² × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 53627

Prime factors of 53627 are 7, 47, 163. Prime factorization of 53627 in exponential form is:

53627 = 7¹ × 47¹ × 163¹

Step-3: Factors of 53613

List of positive integer factors of 53613 that divides 53613 without a remainder.

1, 3, 7, 9, 21, 23, 37, 63, 69, 111, 161, 207, 259, 333, 483, 777, 851, 1449, 2331, 2553, 5957, 7659, 17871

Step-4: Factors of 53627

List of positive integer factors of 53627 that divides 53613 without a remainder.

1, 7, 47, 163, 329, 1141, 7661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53613 and 53627. The biggest common factor number is the GCF number.
So the greatest common factor 53613 and 53627 is 7.

Also check out the Least Common Multiple of 53613 and 53627