What is the Greatest Common Factor of 74544 and 74555?

Greatest common factor (GCF) of 74544 and 74555 is 1.

GCF(74544,74555) = 1

We will now calculate the prime factors of 74544 and 74555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74544 and 74555.

How to find the GCF of 74544 and 74555?

We will first find the prime factorization of 74544 and 74555. After we will calculate the factors of 74544 and 74555 and find the biggest common factor number .

Step-1: Prime Factorization of 74544

Prime factors of 74544 are 2, 3, 1553. Prime factorization of 74544 in exponential form is:

74544 = 2⁴ × 3¹ × 1553¹

Step-2: Prime Factorization of 74555

Prime factors of 74555 are 5, 13, 31, 37. Prime factorization of 74555 in exponential form is:

74555 = 5¹ × 13¹ × 31¹ × 37¹

Step-3: Factors of 74544

List of positive integer factors of 74544 that divides 74544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1553, 3106, 4659, 6212, 9318, 12424, 18636, 24848, 37272

Step-4: Factors of 74555

List of positive integer factors of 74555 that divides 74544 without a remainder.

1, 5, 13, 31, 37, 65, 155, 185, 403, 481, 1147, 2015, 2405, 5735, 14911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74544 and 74555. The biggest common factor number is the GCF number.
So the greatest common factor 74544 and 74555 is 1.

Also check out the Least Common Multiple of 74544 and 74555