What is the Greatest Common Factor of 74531 and 74544?

Greatest common factor (GCF) of 74531 and 74544 is 1.

GCF(74531,74544) = 1

We will now calculate the prime factors of 74531 and 74544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74531 and 74544.

How to find the GCF of 74531 and 74544?

We will first find the prime factorization of 74531 and 74544. After we will calculate the factors of 74531 and 74544 and find the biggest common factor number .

Step-1: Prime Factorization of 74531

Prime factors of 74531 are 74531. Prime factorization of 74531 in exponential form is:

74531 = 74531¹

Step-2: 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-3: Factors of 74531

List of positive integer factors of 74531 that divides 74531 without a remainder.

Step-4: Factors of 74544

List of positive integer factors of 74544 that divides 74531 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74531 and 74544. The biggest common factor number is the GCF number.
So the greatest common factor 74531 and 74544 is 1.

Also check out the Least Common Multiple of 74531 and 74544