What is the Greatest Common Factor of 74566 and 74584?

Greatest common factor (GCF) of 74566 and 74584 is 2.

GCF(74566,74584) = 2

We will now calculate the prime factors of 74566 and 74584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74566 and 74584.

How to find the GCF of 74566 and 74584?

We will first find the prime factorization of 74566 and 74584. After we will calculate the factors of 74566 and 74584 and find the biggest common factor number .

Step-1: Prime Factorization of 74566

Prime factors of 74566 are 2, 23, 1621. Prime factorization of 74566 in exponential form is:

74566 = 2¹ × 23¹ × 1621¹

Step-2: Prime Factorization of 74584

Prime factors of 74584 are 2, 9323. Prime factorization of 74584 in exponential form is:

74584 = 2³ × 9323¹

Step-3: Factors of 74566

List of positive integer factors of 74566 that divides 74566 without a remainder.

1, 2, 23, 46, 1621, 3242, 37283

Step-4: Factors of 74584

List of positive integer factors of 74584 that divides 74566 without a remainder.

1, 2, 4, 8, 9323, 18646, 37292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74566 and 74584. The biggest common factor number is the GCF number.
So the greatest common factor 74566 and 74584 is 2.

Also check out the Least Common Multiple of 74566 and 74584