What is the Greatest Common Factor of 52632 and 52644?

Greatest common factor (GCF) of 52632 and 52644 is 12.

GCF(52632,52644) = 12

We will now calculate the prime factors of 52632 and 52644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52632 and 52644.

How to find the GCF of 52632 and 52644?

We will first find the prime factorization of 52632 and 52644. After we will calculate the factors of 52632 and 52644 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52644

Prime factors of 52644 are 2, 3, 41, 107. Prime factorization of 52644 in exponential form is:

52644 = 2² × 3¹ × 41¹ × 107¹

Step-3: Factors of 52632

List of positive integer factors of 52632 that divides 52632 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

Step-4: Factors of 52644

List of positive integer factors of 52644 that divides 52632 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 107, 123, 164, 214, 246, 321, 428, 492, 642, 1284, 4387, 8774, 13161, 17548, 26322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52632 and 52644. The biggest common factor number is the GCF number.
So the greatest common factor 52632 and 52644 is 12.

Also check out the Least Common Multiple of 52632 and 52644