What is the Greatest Common Factor of 74358 and 74376?

Greatest common factor (GCF) of 74358 and 74376 is 18.

GCF(74358,74376) = 18

We will now calculate the prime factors of 74358 and 74376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74358 and 74376.

How to find the GCF of 74358 and 74376?

We will first find the prime factorization of 74358 and 74376. After we will calculate the factors of 74358 and 74376 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 74376

Prime factors of 74376 are 2, 3, 1033. Prime factorization of 74376 in exponential form is:

74376 = 2³ × 3² × 1033¹

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 74376

List of positive integer factors of 74376 that divides 74358 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1033, 2066, 3099, 4132, 6198, 8264, 9297, 12396, 18594, 24792, 37188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74358 and 74376. The biggest common factor number is the GCF number.
So the greatest common factor 74358 and 74376 is 18.

Also check out the Least Common Multiple of 74358 and 74376