What is the Greatest Common Factor of 52623 and 52632?

Greatest common factor (GCF) of 52623 and 52632 is 9.

GCF(52623,52632) = 9

We will now calculate the prime factors of 52623 and 52632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52623 and 52632.

How to find the GCF of 52623 and 52632?

We will first find the prime factorization of 52623 and 52632. After we will calculate the factors of 52623 and 52632 and find the biggest common factor number .

Step-1: Prime Factorization of 52623

Prime factors of 52623 are 3, 1949. Prime factorization of 52623 in exponential form is:

52623 = 3³ × 1949¹

Step-2: Prime Factorization of 52632

Prime factors of 52632 are 2, 3, 17, 43. Prime factorization of 52632 in exponential form is:

52632 = 2³ × 3² × 17¹ × 43¹

Step-3: Factors of 52623

List of positive integer factors of 52623 that divides 52623 without a remainder.

1, 3, 9, 27, 1949, 5847, 17541

Step-4: Factors of 52632

List of positive integer factors of 52632 that divides 52623 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 43, 51, 68, 72, 86, 102, 129, 136, 153, 172, 204, 258, 306, 344, 387, 408, 516, 612, 731, 774, 1032, 1224, 1462, 1548, 2193, 2924, 3096, 4386, 5848, 6579, 8772, 13158, 17544, 26316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52623 and 52632. The biggest common factor number is the GCF number.
So the greatest common factor 52623 and 52632 is 9.

Also check out the Least Common Multiple of 52623 and 52632