What is the Greatest Common Factor of 74357 and 74375?

Greatest common factor (GCF) of 74357 and 74375 is 1.

GCF(74357,74375) = 1

We will now calculate the prime factors of 74357 and 74375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74357 and 74375.

How to find the GCF of 74357 and 74375?

We will first find the prime factorization of 74357 and 74375. After we will calculate the factors of 74357 and 74375 and find the biggest common factor number .

Step-1: Prime Factorization of 74357

Prime factors of 74357 are 74357. Prime factorization of 74357 in exponential form is:

74357 = 74357¹

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 74357

List of positive integer factors of 74357 that divides 74357 without a remainder.

Step-4: Factors of 74375

List of positive integer factors of 74375 that divides 74357 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 74357 and 74375. The biggest common factor number is the GCF number.
So the greatest common factor 74357 and 74375 is 1.

Also check out the Least Common Multiple of 74357 and 74375