What is the Greatest Common Factor of 74574 and 74580?

Greatest common factor (GCF) of 74574 and 74580 is 6.

GCF(74574,74580) = 6

We will now calculate the prime factors of 74574 and 74580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74574 and 74580.

How to find the GCF of 74574 and 74580?

We will first find the prime factorization of 74574 and 74580. After we will calculate the factors of 74574 and 74580 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 74580

Prime factors of 74580 are 2, 3, 5, 11, 113. Prime factorization of 74580 in exponential form is:

74580 = 2² × 3¹ × 5¹ × 11¹ × 113¹

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 74580

List of positive integer factors of 74580 that divides 74574 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 113, 132, 165, 220, 226, 330, 339, 452, 565, 660, 678, 1130, 1243, 1356, 1695, 2260, 2486, 3390, 3729, 4972, 6215, 6780, 7458, 12430, 14916, 18645, 24860, 37290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74574 and 74580. The biggest common factor number is the GCF number.
So the greatest common factor 74574 and 74580 is 6.

Also check out the Least Common Multiple of 74574 and 74580