What is the Greatest Common Factor of 75570 and 75590?

Greatest common factor (GCF) of 75570 and 75590 is 10.

GCF(75570,75590) = 10

We will now calculate the prime factors of 75570 and 75590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75570 and 75590.

How to find the GCF of 75570 and 75590?

We will first find the prime factorization of 75570 and 75590. After we will calculate the factors of 75570 and 75590 and find the biggest common factor number .

Step-1: Prime Factorization of 75570

Prime factors of 75570 are 2, 3, 5, 11, 229. Prime factorization of 75570 in exponential form is:

75570 = 2¹ × 3¹ × 5¹ × 11¹ × 229¹

Step-2: Prime Factorization of 75590

Prime factors of 75590 are 2, 5, 7559. Prime factorization of 75590 in exponential form is:

75590 = 2¹ × 5¹ × 7559¹

Step-3: Factors of 75570

List of positive integer factors of 75570 that divides 75570 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 229, 330, 458, 687, 1145, 1374, 2290, 2519, 3435, 5038, 6870, 7557, 12595, 15114, 25190, 37785

Step-4: Factors of 75590

List of positive integer factors of 75590 that divides 75570 without a remainder.

1, 2, 5, 10, 7559, 15118, 37795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75570 and 75590. The biggest common factor number is the GCF number.
So the greatest common factor 75570 and 75590 is 10.

Also check out the Least Common Multiple of 75570 and 75590