What is the Greatest Common Factor of 53613 and 53630?

Greatest common factor (GCF) of 53613 and 53630 is 1.

GCF(53613,53630) = 1

We will now calculate the prime factors of 53613 and 53630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53613 and 53630.

How to find the GCF of 53613 and 53630?

We will first find the prime factorization of 53613 and 53630. After we will calculate the factors of 53613 and 53630 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 53630

Prime factors of 53630 are 2, 5, 31, 173. Prime factorization of 53630 in exponential form is:

53630 = 2¹ × 5¹ × 31¹ × 173¹

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 53630

List of positive integer factors of 53630 that divides 53613 without a remainder.

1, 2, 5, 10, 31, 62, 155, 173, 310, 346, 865, 1730, 5363, 10726, 26815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53613 and 53630. The biggest common factor number is the GCF number.
So the greatest common factor 53613 and 53630 is 1.

Also check out the Least Common Multiple of 53613 and 53630