What is the Greatest Common Factor of 74372 and 74392?

Greatest common factor (GCF) of 74372 and 74392 is 4.

GCF(74372,74392) = 4

We will now calculate the prime factors of 74372 and 74392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74372 and 74392.

How to find the GCF of 74372 and 74392?

We will first find the prime factorization of 74372 and 74392. After we will calculate the factors of 74372 and 74392 and find the biggest common factor number .

Step-1: Prime Factorization of 74372

Prime factors of 74372 are 2, 18593. Prime factorization of 74372 in exponential form is:

74372 = 2² × 18593¹

Step-2: Prime Factorization of 74392

Prime factors of 74392 are 2, 17, 547. Prime factorization of 74392 in exponential form is:

74392 = 2³ × 17¹ × 547¹

Step-3: Factors of 74372

List of positive integer factors of 74372 that divides 74372 without a remainder.

1, 2, 4, 18593, 37186

Step-4: Factors of 74392

List of positive integer factors of 74392 that divides 74372 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 547, 1094, 2188, 4376, 9299, 18598, 37196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74372 and 74392. The biggest common factor number is the GCF number.
So the greatest common factor 74372 and 74392 is 4.

Also check out the Least Common Multiple of 74372 and 74392