What is the Greatest Common Factor of 74569 and 74580?

Greatest common factor (GCF) of 74569 and 74580 is 11.

GCF(74569,74580) = 11

We will now calculate the prime factors of 74569 and 74580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74569 and 74580.

How to find the GCF of 74569 and 74580?

We will first find the prime factorization of 74569 and 74580. After we will calculate the factors of 74569 and 74580 and find the biggest common factor number .

Step-1: Prime Factorization of 74569

Prime factors of 74569 are 11, 6779. Prime factorization of 74569 in exponential form is:

74569 = 11¹ × 6779¹

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 74569

List of positive integer factors of 74569 that divides 74569 without a remainder.

1, 11, 6779

Step-4: Factors of 74580

List of positive integer factors of 74580 that divides 74569 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 74569 and 74580. The biggest common factor number is the GCF number.
So the greatest common factor 74569 and 74580 is 11.

Also check out the Least Common Multiple of 74569 and 74580