What is the Greatest Common Factor of 74355 and 74364?

Greatest common factor (GCF) of 74355 and 74364 is 3.

GCF(74355,74364) = 3

We will now calculate the prime factors of 74355 and 74364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74355 and 74364.

How to find the GCF of 74355 and 74364?

We will first find the prime factorization of 74355 and 74364. After we will calculate the factors of 74355 and 74364 and find the biggest common factor number .

Step-1: Prime Factorization of 74355

Prime factors of 74355 are 3, 5, 4957. Prime factorization of 74355 in exponential form is:

74355 = 3¹ × 5¹ × 4957¹

Step-2: 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-3: Factors of 74355

List of positive integer factors of 74355 that divides 74355 without a remainder.

1, 3, 5, 15, 4957, 14871, 24785

Step-4: Factors of 74364

List of positive integer factors of 74364 that divides 74355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74355 and 74364. The biggest common factor number is the GCF number.
So the greatest common factor 74355 and 74364 is 3.

Also check out the Least Common Multiple of 74355 and 74364