What is the Greatest Common Factor of 74559 and 74574?

Greatest common factor (GCF) of 74559 and 74574 is 3.

GCF(74559,74574) = 3

We will now calculate the prime factors of 74559 and 74574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74559 and 74574.

How to find the GCF of 74559 and 74574?

We will first find the prime factorization of 74559 and 74574. After we will calculate the factors of 74559 and 74574 and find the biggest common factor number .

Step-1: Prime Factorization of 74559

Prime factors of 74559 are 3, 29, 857. Prime factorization of 74559 in exponential form is:

74559 = 3¹ × 29¹ × 857¹

Step-2: Prime Factorization of 74574

Prime factors of 74574 are 2, 3, 1381. Prime factorization of 74574 in exponential form is:

74574 = 2¹ × 3³ × 1381¹

Step-3: Factors of 74559

List of positive integer factors of 74559 that divides 74559 without a remainder.

1, 3, 29, 87, 857, 2571, 24853

Step-4: Factors of 74574

List of positive integer factors of 74574 that divides 74559 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1381, 2762, 4143, 8286, 12429, 24858, 37287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74559 and 74574. The biggest common factor number is the GCF number.
So the greatest common factor 74559 and 74574 is 3.

Also check out the Least Common Multiple of 74559 and 74574