What is the Greatest Common Factor of 74580 and 74590?

Greatest common factor (GCF) of 74580 and 74590 is 10.

GCF(74580,74590) = 10

We will now calculate the prime factors of 74580 and 74590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74580 and 74590.

How to find the GCF of 74580 and 74590?

We will first find the prime factorization of 74580 and 74590. After we will calculate the factors of 74580 and 74590 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74590

Prime factors of 74590 are 2, 5, 7459. Prime factorization of 74590 in exponential form is:

74590 = 2¹ × 5¹ × 7459¹

Step-3: Factors of 74580

List of positive integer factors of 74580 that divides 74580 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

Step-4: Factors of 74590

List of positive integer factors of 74590 that divides 74580 without a remainder.

1, 2, 5, 10, 7459, 14918, 37295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74580 and 74590. The biggest common factor number is the GCF number.
So the greatest common factor 74580 and 74590 is 10.

Also check out the Least Common Multiple of 74580 and 74590