What is the Greatest Common Factor of 74644 and 74652?

Greatest common factor (GCF) of 74644 and 74652 is 4.

GCF(74644,74652) = 4

We will now calculate the prime factors of 74644 and 74652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74644 and 74652.

How to find the GCF of 74644 and 74652?

We will first find the prime factorization of 74644 and 74652. After we will calculate the factors of 74644 and 74652 and find the biggest common factor number .

Step-1: Prime Factorization of 74644

Prime factors of 74644 are 2, 18661. Prime factorization of 74644 in exponential form is:

74644 = 2² × 18661¹

Step-2: Prime Factorization of 74652

Prime factors of 74652 are 2, 3, 6221. Prime factorization of 74652 in exponential form is:

74652 = 2² × 3¹ × 6221¹

Step-3: Factors of 74644

List of positive integer factors of 74644 that divides 74644 without a remainder.

1, 2, 4, 18661, 37322

Step-4: Factors of 74652

List of positive integer factors of 74652 that divides 74644 without a remainder.

1, 2, 3, 4, 6, 12, 6221, 12442, 18663, 24884, 37326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74644 and 74652. The biggest common factor number is the GCF number.
So the greatest common factor 74644 and 74652 is 4.

Also check out the Least Common Multiple of 74644 and 74652