What is the Greatest Common Factor of 74537 and 74556?

Greatest common factor (GCF) of 74537 and 74556 is 19.

GCF(74537,74556) = 19

We will now calculate the prime factors of 74537 and 74556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74537 and 74556.

How to find the GCF of 74537 and 74556?

We will first find the prime factorization of 74537 and 74556. After we will calculate the factors of 74537 and 74556 and find the biggest common factor number .

Step-1: Prime Factorization of 74537

Prime factors of 74537 are 19, 3923. Prime factorization of 74537 in exponential form is:

74537 = 19¹ × 3923¹

Step-2: 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-3: Factors of 74537

List of positive integer factors of 74537 that divides 74537 without a remainder.

1, 19, 3923

Step-4: Factors of 74556

List of positive integer factors of 74556 that divides 74537 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74537 and 74556. The biggest common factor number is the GCF number.
So the greatest common factor 74537 and 74556 is 19.

Also check out the Least Common Multiple of 74537 and 74556