What is the Greatest Common Factor of 58623 and 58632?

Greatest common factor (GCF) of 58623 and 58632 is 3.

GCF(58623,58632) = 3

We will now calculate the prime factors of 58623 and 58632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58623 and 58632.

How to find the GCF of 58623 and 58632?

We will first find the prime factorization of 58623 and 58632. After we will calculate the factors of 58623 and 58632 and find the biggest common factor number .

Step-1: Prime Factorization of 58623

Prime factors of 58623 are 3, 19541. Prime factorization of 58623 in exponential form is:

58623 = 3¹ × 19541¹

Step-2: Prime Factorization of 58632

Prime factors of 58632 are 2, 3, 7, 349. Prime factorization of 58632 in exponential form is:

58632 = 2³ × 3¹ × 7¹ × 349¹

Step-3: Factors of 58623

List of positive integer factors of 58623 that divides 58623 without a remainder.

1, 3, 19541

Step-4: Factors of 58632

List of positive integer factors of 58632 that divides 58623 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 349, 698, 1047, 1396, 2094, 2443, 2792, 4188, 4886, 7329, 8376, 9772, 14658, 19544, 29316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58623 and 58632. The biggest common factor number is the GCF number.
So the greatest common factor 58623 and 58632 is 3.

Also check out the Least Common Multiple of 58623 and 58632