What is the Greatest Common Factor of 74375 and 74392?

Greatest common factor (GCF) of 74375 and 74392 is 17.

GCF(74375,74392) = 17

We will now calculate the prime factors of 74375 and 74392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74375 and 74392.

How to find the GCF of 74375 and 74392?

We will first find the prime factorization of 74375 and 74392. After we will calculate the factors of 74375 and 74392 and find the biggest common factor number .

Step-1: Prime Factorization of 74375

Prime factors of 74375 are 5, 7, 17. Prime factorization of 74375 in exponential form is:

74375 = 5⁴ × 7¹ × 17¹

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 74375

List of positive integer factors of 74375 that divides 74375 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 125, 175, 425, 595, 625, 875, 2125, 2975, 4375, 10625, 14875

Step-4: Factors of 74392

List of positive integer factors of 74392 that divides 74375 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 74375 and 74392. The biggest common factor number is the GCF number.
So the greatest common factor 74375 and 74392 is 17.

Also check out the Least Common Multiple of 74375 and 74392