What is the Greatest Common Factor of 74904 and 74920?

Greatest common factor (GCF) of 74904 and 74920 is 8.

GCF(74904,74920) = 8

We will now calculate the prime factors of 74904 and 74920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74904 and 74920.

How to find the GCF of 74904 and 74920?

We will first find the prime factorization of 74904 and 74920. After we will calculate the factors of 74904 and 74920 and find the biggest common factor number .

Step-1: Prime Factorization of 74904

Prime factors of 74904 are 2, 3, 3121. Prime factorization of 74904 in exponential form is:

74904 = 2³ × 3¹ × 3121¹

Step-2: Prime Factorization of 74920

Prime factors of 74920 are 2, 5, 1873. Prime factorization of 74920 in exponential form is:

74920 = 2³ × 5¹ × 1873¹

Step-3: Factors of 74904

List of positive integer factors of 74904 that divides 74904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3121, 6242, 9363, 12484, 18726, 24968, 37452

Step-4: Factors of 74920

List of positive integer factors of 74920 that divides 74904 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1873, 3746, 7492, 9365, 14984, 18730, 37460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74904 and 74920. The biggest common factor number is the GCF number.
So the greatest common factor 74904 and 74920 is 8.

Also check out the Least Common Multiple of 74904 and 74920