What is the Greatest Common Factor of 62904 and 62916?

Greatest common factor (GCF) of 62904 and 62916 is 12.

GCF(62904,62916) = 12

We will now calculate the prime factors of 62904 and 62916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62904 and 62916.

How to find the GCF of 62904 and 62916?

We will first find the prime factorization of 62904 and 62916. After we will calculate the factors of 62904 and 62916 and find the biggest common factor number .

Step-1: Prime Factorization of 62904

Prime factors of 62904 are 2, 3, 2621. Prime factorization of 62904 in exponential form is:

62904 = 2³ × 3¹ × 2621¹

Step-2: Prime Factorization of 62916

Prime factors of 62916 are 2, 3, 7, 107. Prime factorization of 62916 in exponential form is:

62916 = 2² × 3¹ × 7² × 107¹

Step-3: Factors of 62904

List of positive integer factors of 62904 that divides 62904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2621, 5242, 7863, 10484, 15726, 20968, 31452

Step-4: Factors of 62916

List of positive integer factors of 62916 that divides 62904 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 107, 147, 196, 214, 294, 321, 428, 588, 642, 749, 1284, 1498, 2247, 2996, 4494, 5243, 8988, 10486, 15729, 20972, 31458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62904 and 62916. The biggest common factor number is the GCF number.
So the greatest common factor 62904 and 62916 is 12.

Also check out the Least Common Multiple of 62904 and 62916