What is the Greatest Common Factor of 62904 and 62924?

Greatest common factor (GCF) of 62904 and 62924 is 4.

GCF(62904,62924) = 4

We will now calculate the prime factors of 62904 and 62924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62904 and 62924.

How to find the GCF of 62904 and 62924?

We will first find the prime factorization of 62904 and 62924. After we will calculate the factors of 62904 and 62924 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 62924

Prime factors of 62924 are 2, 15731. Prime factorization of 62924 in exponential form is:

62924 = 2² × 15731¹

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 62924

List of positive integer factors of 62924 that divides 62904 without a remainder.

1, 2, 4, 15731, 31462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62904 and 62924. The biggest common factor number is the GCF number.
So the greatest common factor 62904 and 62924 is 4.

Also check out the Least Common Multiple of 62904 and 62924