What is the Greatest Common Factor of 74588 and 74604?

Greatest common factor (GCF) of 74588 and 74604 is 4.

GCF(74588,74604) = 4

We will now calculate the prime factors of 74588 and 74604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74588 and 74604.

How to find the GCF of 74588 and 74604?

We will first find the prime factorization of 74588 and 74604. After we will calculate the factors of 74588 and 74604 and find the biggest common factor number .

Step-1: Prime Factorization of 74588

Prime factors of 74588 are 2, 29, 643. Prime factorization of 74588 in exponential form is:

74588 = 2² × 29¹ × 643¹

Step-2: Prime Factorization of 74604

Prime factors of 74604 are 2, 3, 6217. Prime factorization of 74604 in exponential form is:

74604 = 2² × 3¹ × 6217¹

Step-3: Factors of 74588

List of positive integer factors of 74588 that divides 74588 without a remainder.

1, 2, 4, 29, 58, 116, 643, 1286, 2572, 18647, 37294

Step-4: Factors of 74604

List of positive integer factors of 74604 that divides 74588 without a remainder.

1, 2, 3, 4, 6, 12, 6217, 12434, 18651, 24868, 37302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74588 and 74604. The biggest common factor number is the GCF number.
So the greatest common factor 74588 and 74604 is 4.

Also check out the Least Common Multiple of 74588 and 74604