What is the Greatest Common Factor of 74364 and 74375?

Greatest common factor (GCF) of 74364 and 74375 is 1.

GCF(74364,74375) = 1

We will now calculate the prime factors of 74364 and 74375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74364 and 74375.

How to find the GCF of 74364 and 74375?

We will first find the prime factorization of 74364 and 74375. After we will calculate the factors of 74364 and 74375 and find the biggest common factor number .

Step-1: Prime Factorization of 74364

Prime factors of 74364 are 2, 3, 6197. Prime factorization of 74364 in exponential form is:

74364 = 2² × 3¹ × 6197¹

Step-2: 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-3: Factors of 74364

List of positive integer factors of 74364 that divides 74364 without a remainder.

1, 2, 3, 4, 6, 12, 6197, 12394, 18591, 24788, 37182

Step-4: Factors of 74375

List of positive integer factors of 74375 that divides 74364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74364 and 74375. The biggest common factor number is the GCF number.
So the greatest common factor 74364 and 74375 is 1.

Also check out the Least Common Multiple of 74364 and 74375