What is the Greatest Common Factor of 74549 and 74556?

Greatest common factor (GCF) of 74549 and 74556 is 1.

GCF(74549,74556) = 1

We will now calculate the prime factors of 74549 and 74556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74549 and 74556.

How to find the GCF of 74549 and 74556?

We will first find the prime factorization of 74549 and 74556. After we will calculate the factors of 74549 and 74556 and find the biggest common factor number .

Step-1: Prime Factorization of 74549

Prime factors of 74549 are 127, 587. Prime factorization of 74549 in exponential form is:

74549 = 127¹ × 587¹

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 74549

List of positive integer factors of 74549 that divides 74549 without a remainder.

1, 127, 587

Step-4: Factors of 74556

List of positive integer factors of 74556 that divides 74549 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 74549 and 74556. The biggest common factor number is the GCF number.
So the greatest common factor 74549 and 74556 is 1.

Also check out the Least Common Multiple of 74549 and 74556