What is the Greatest Common Factor of 74788 and 74808?

Greatest common factor (GCF) of 74788 and 74808 is 4.

GCF(74788,74808) = 4

We will now calculate the prime factors of 74788 and 74808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74788 and 74808.

How to find the GCF of 74788 and 74808?

We will first find the prime factorization of 74788 and 74808. After we will calculate the factors of 74788 and 74808 and find the biggest common factor number .

Step-1: Prime Factorization of 74788

Prime factors of 74788 are 2, 7, 2671. Prime factorization of 74788 in exponential form is:

74788 = 2² × 7¹ × 2671¹

Step-2: Prime Factorization of 74808

Prime factors of 74808 are 2, 3, 1039. Prime factorization of 74808 in exponential form is:

74808 = 2³ × 3² × 1039¹

Step-3: Factors of 74788

List of positive integer factors of 74788 that divides 74788 without a remainder.

1, 2, 4, 7, 14, 28, 2671, 5342, 10684, 18697, 37394

Step-4: Factors of 74808

List of positive integer factors of 74808 that divides 74788 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1039, 2078, 3117, 4156, 6234, 8312, 9351, 12468, 18702, 24936, 37404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74788 and 74808. The biggest common factor number is the GCF number.
So the greatest common factor 74788 and 74808 is 4.

Also check out the Least Common Multiple of 74788 and 74808