What is the Greatest Common Factor of 74375 and 74388?

Greatest common factor (GCF) of 74375 and 74388 is 1.

GCF(74375,74388) = 1

We will now calculate the prime factors of 74375 and 74388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74375 and 74388.

How to find the GCF of 74375 and 74388?

We will first find the prime factorization of 74375 and 74388. After we will calculate the factors of 74375 and 74388 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 74388

Prime factors of 74388 are 2, 3, 6199. Prime factorization of 74388 in exponential form is:

74388 = 2² × 3¹ × 6199¹

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 74388

List of positive integer factors of 74388 that divides 74375 without a remainder.

1, 2, 3, 4, 6, 12, 6199, 12398, 18597, 24796, 37194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74375 and 74388. The biggest common factor number is the GCF number.
So the greatest common factor 74375 and 74388 is 1.

Also check out the Least Common Multiple of 74375 and 74388