What is the Greatest Common Factor of 74358 and 74375?

Greatest common factor (GCF) of 74358 and 74375 is 17.

GCF(74358,74375) = 17

We will now calculate the prime factors of 74358 and 74375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74358 and 74375.

How to find the GCF of 74358 and 74375?

We will first find the prime factorization of 74358 and 74375. After we will calculate the factors of 74358 and 74375 and find the biggest common factor number .

Step-1: Prime Factorization of 74358

Prime factors of 74358 are 2, 3, 17. Prime factorization of 74358 in exponential form is:

74358 = 2¹ × 3⁷ × 17¹

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 74358

List of positive integer factors of 74358 that divides 74358 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 729, 918, 1377, 1458, 2187, 2754, 4131, 4374, 8262, 12393, 24786, 37179

Step-4: Factors of 74375

List of positive integer factors of 74375 that divides 74358 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 74358 and 74375. The biggest common factor number is the GCF number.
So the greatest common factor 74358 and 74375 is 17.

Also check out the Least Common Multiple of 74358 and 74375