What is the Greatest Common Factor of 74590 and 74596?

Greatest common factor (GCF) of 74590 and 74596 is 2.

GCF(74590,74596) = 2

We will now calculate the prime factors of 74590 and 74596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74590 and 74596.

How to find the GCF of 74590 and 74596?

We will first find the prime factorization of 74590 and 74596. After we will calculate the factors of 74590 and 74596 and find the biggest common factor number .

Step-1: Prime Factorization of 74590

Prime factors of 74590 are 2, 5, 7459. Prime factorization of 74590 in exponential form is:

74590 = 2¹ × 5¹ × 7459¹

Step-2: Prime Factorization of 74596

Prime factors of 74596 are 2, 17, 1097. Prime factorization of 74596 in exponential form is:

74596 = 2² × 17¹ × 1097¹

Step-3: Factors of 74590

List of positive integer factors of 74590 that divides 74590 without a remainder.

1, 2, 5, 10, 7459, 14918, 37295

Step-4: Factors of 74596

List of positive integer factors of 74596 that divides 74590 without a remainder.

1, 2, 4, 17, 34, 68, 1097, 2194, 4388, 18649, 37298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74590 and 74596. The biggest common factor number is the GCF number.
So the greatest common factor 74590 and 74596 is 2.

Also check out the Least Common Multiple of 74590 and 74596