What is the Greatest Common Factor of 62652 and 62664?

Greatest common factor (GCF) of 62652 and 62664 is 12.

GCF(62652,62664) = 12

We will now calculate the prime factors of 62652 and 62664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62652 and 62664.

How to find the GCF of 62652 and 62664?

We will first find the prime factorization of 62652 and 62664. After we will calculate the factors of 62652 and 62664 and find the biggest common factor number .

Step-1: Prime Factorization of 62652

Prime factors of 62652 are 2, 3, 23, 227. Prime factorization of 62652 in exponential form is:

62652 = 2² × 3¹ × 23¹ × 227¹

Step-2: Prime Factorization of 62664

Prime factors of 62664 are 2, 3, 7, 373. Prime factorization of 62664 in exponential form is:

62664 = 2³ × 3¹ × 7¹ × 373¹

Step-3: Factors of 62652

List of positive integer factors of 62652 that divides 62652 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 227, 276, 454, 681, 908, 1362, 2724, 5221, 10442, 15663, 20884, 31326

Step-4: Factors of 62664

List of positive integer factors of 62664 that divides 62652 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 373, 746, 1119, 1492, 2238, 2611, 2984, 4476, 5222, 7833, 8952, 10444, 15666, 20888, 31332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62652 and 62664. The biggest common factor number is the GCF number.
So the greatest common factor 62652 and 62664 is 12.

Also check out the Least Common Multiple of 62652 and 62664