What is the Greatest Common Factor of 74366 and 74376?

Greatest common factor (GCF) of 74366 and 74376 is 2.

GCF(74366,74376) = 2

We will now calculate the prime factors of 74366 and 74376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74366 and 74376.

How to find the GCF of 74366 and 74376?

We will first find the prime factorization of 74366 and 74376. After we will calculate the factors of 74366 and 74376 and find the biggest common factor number .

Step-1: Prime Factorization of 74366

Prime factors of 74366 are 2, 19, 103. Prime factorization of 74366 in exponential form is:

74366 = 2¹ × 19² × 103¹

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 74366

List of positive integer factors of 74366 that divides 74366 without a remainder.

1, 2, 19, 38, 103, 206, 361, 722, 1957, 3914, 37183

Step-4: Factors of 74376

List of positive integer factors of 74376 that divides 74366 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 74366 and 74376. The biggest common factor number is the GCF number.
So the greatest common factor 74366 and 74376 is 2.

Also check out the Least Common Multiple of 74366 and 74376