What is the Greatest Common Factor of 62652 and 62666?

Greatest common factor (GCF) of 62652 and 62666 is 2.

GCF(62652,62666) = 2

We will now calculate the prime factors of 62652 and 62666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62652 and 62666.

How to find the GCF of 62652 and 62666?

We will first find the prime factorization of 62652 and 62666. After we will calculate the factors of 62652 and 62666 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 62666

Prime factors of 62666 are 2, 31333. Prime factorization of 62666 in exponential form is:

62666 = 2¹ × 31333¹

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 62666

List of positive integer factors of 62666 that divides 62652 without a remainder.

1, 2, 31333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62652 and 62666. The biggest common factor number is the GCF number.
So the greatest common factor 62652 and 62666 is 2.

Also check out the Least Common Multiple of 62652 and 62666