What is the Greatest Common Factor of 62712 and 62724?

Greatest common factor (GCF) of 62712 and 62724 is 12.

GCF(62712,62724) = 12

We will now calculate the prime factors of 62712 and 62724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62712 and 62724.

How to find the GCF of 62712 and 62724?

We will first find the prime factorization of 62712 and 62724. After we will calculate the factors of 62712 and 62724 and find the biggest common factor number .

Step-1: Prime Factorization of 62712

Prime factors of 62712 are 2, 3, 13, 67. Prime factorization of 62712 in exponential form is:

62712 = 2³ × 3² × 13¹ × 67¹

Step-2: Prime Factorization of 62724

Prime factors of 62724 are 2, 3, 5227. Prime factorization of 62724 in exponential form is:

62724 = 2² × 3¹ × 5227¹

Step-3: Factors of 62712

List of positive integer factors of 62712 that divides 62712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 67, 72, 78, 104, 117, 134, 156, 201, 234, 268, 312, 402, 468, 536, 603, 804, 871, 936, 1206, 1608, 1742, 2412, 2613, 3484, 4824, 5226, 6968, 7839, 10452, 15678, 20904, 31356

Step-4: Factors of 62724

List of positive integer factors of 62724 that divides 62712 without a remainder.

1, 2, 3, 4, 6, 12, 5227, 10454, 15681, 20908, 31362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62712 and 62724. The biggest common factor number is the GCF number.
So the greatest common factor 62712 and 62724 is 12.

Also check out the Least Common Multiple of 62712 and 62724