What is the Greatest Common Factor of 62652 and 62668?

Greatest common factor (GCF) of 62652 and 62668 is 4.

GCF(62652,62668) = 4

We will now calculate the prime factors of 62652 and 62668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62652 and 62668.

How to find the GCF of 62652 and 62668?

We will first find the prime factorization of 62652 and 62668. After we will calculate the factors of 62652 and 62668 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 62668

Prime factors of 62668 are 2, 15667. Prime factorization of 62668 in exponential form is:

62668 = 2² × 15667¹

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 62668

List of positive integer factors of 62668 that divides 62652 without a remainder.

1, 2, 4, 15667, 31334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62652 and 62668. The biggest common factor number is the GCF number.
So the greatest common factor 62652 and 62668 is 4.

Also check out the Least Common Multiple of 62652 and 62668