What is the Greatest Common Factor of 74574 and 74585?

Greatest common factor (GCF) of 74574 and 74585 is 1.

GCF(74574,74585) = 1

We will now calculate the prime factors of 74574 and 74585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74574 and 74585.

How to find the GCF of 74574 and 74585?

We will first find the prime factorization of 74574 and 74585. After we will calculate the factors of 74574 and 74585 and find the biggest common factor number .

Step-1: Prime Factorization of 74574

Prime factors of 74574 are 2, 3, 1381. Prime factorization of 74574 in exponential form is:

74574 = 2¹ × 3³ × 1381¹

Step-2: Prime Factorization of 74585

Prime factors of 74585 are 5, 7, 2131. Prime factorization of 74585 in exponential form is:

74585 = 5¹ × 7¹ × 2131¹

Step-3: Factors of 74574

List of positive integer factors of 74574 that divides 74574 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1381, 2762, 4143, 8286, 12429, 24858, 37287

Step-4: Factors of 74585

List of positive integer factors of 74585 that divides 74574 without a remainder.

1, 5, 7, 35, 2131, 10655, 14917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74574 and 74585. The biggest common factor number is the GCF number.
So the greatest common factor 74574 and 74585 is 1.

Also check out the Least Common Multiple of 74574 and 74585