What is the Greatest Common Factor of 74556 and 74574?

Greatest common factor (GCF) of 74556 and 74574 is 18.

GCF(74556,74574) = 18

We will now calculate the prime factors of 74556 and 74574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74556 and 74574.

How to find the GCF of 74556 and 74574?

We will first find the prime factorization of 74556 and 74574. After we will calculate the factors of 74556 and 74574 and find the biggest common factor number .

Step-1: Prime Factorization of 74556

Prime factors of 74556 are 2, 3, 19, 109. Prime factorization of 74556 in exponential form is:

74556 = 2² × 3² × 19¹ × 109¹

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 74556

List of positive integer factors of 74556 that divides 74556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 109, 114, 171, 218, 228, 327, 342, 436, 654, 684, 981, 1308, 1962, 2071, 3924, 4142, 6213, 8284, 12426, 18639, 24852, 37278

Step-4: Factors of 74574

List of positive integer factors of 74574 that divides 74556 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 74556 and 74574. The biggest common factor number is the GCF number.
So the greatest common factor 74556 and 74574 is 18.

Also check out the Least Common Multiple of 74556 and 74574