What is the Greatest Common Factor of 62638 and 62652?

Greatest common factor (GCF) of 62638 and 62652 is 2.

GCF(62638,62652) = 2

We will now calculate the prime factors of 62638 and 62652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62638 and 62652.

How to find the GCF of 62638 and 62652?

We will first find the prime factorization of 62638 and 62652. After we will calculate the factors of 62638 and 62652 and find the biggest common factor number .

Step-1: Prime Factorization of 62638

Prime factors of 62638 are 2, 31319. Prime factorization of 62638 in exponential form is:

62638 = 2¹ × 31319¹

Step-2: 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-3: Factors of 62638

List of positive integer factors of 62638 that divides 62638 without a remainder.

1, 2, 31319

Step-4: Factors of 62652

List of positive integer factors of 62652 that divides 62638 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62638 and 62652. The biggest common factor number is the GCF number.
So the greatest common factor 62638 and 62652 is 2.

Also check out the Least Common Multiple of 62638 and 62652