What is the Greatest Common Factor of 74559 and 74568?

Greatest common factor (GCF) of 74559 and 74568 is 3.

GCF(74559,74568) = 3

We will now calculate the prime factors of 74559 and 74568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74559 and 74568.

How to find the GCF of 74559 and 74568?

We will first find the prime factorization of 74559 and 74568. After we will calculate the factors of 74559 and 74568 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 74568

Prime factors of 74568 are 2, 3, 13, 239. Prime factorization of 74568 in exponential form is:

74568 = 2³ × 3¹ × 13¹ × 239¹

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 74568

List of positive integer factors of 74568 that divides 74559 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 239, 312, 478, 717, 956, 1434, 1912, 2868, 3107, 5736, 6214, 9321, 12428, 18642, 24856, 37284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74559 and 74568. The biggest common factor number is the GCF number.
So the greatest common factor 74559 and 74568 is 3.

Also check out the Least Common Multiple of 74559 and 74568