What is the Greatest Common Factor of 79090 and 79110?

Greatest common factor (GCF) of 79090 and 79110 is 10.

GCF(79090,79110) = 10

We will now calculate the prime factors of 79090 and 79110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79090 and 79110.

How to find the GCF of 79090 and 79110?

We will first find the prime factorization of 79090 and 79110. After we will calculate the factors of 79090 and 79110 and find the biggest common factor number .

Step-1: Prime Factorization of 79090

Prime factors of 79090 are 2, 5, 11, 719. Prime factorization of 79090 in exponential form is:

79090 = 2¹ × 5¹ × 11¹ × 719¹

Step-2: Prime Factorization of 79110

Prime factors of 79110 are 2, 3, 5, 293. Prime factorization of 79110 in exponential form is:

79110 = 2¹ × 3³ × 5¹ × 293¹

Step-3: Factors of 79090

List of positive integer factors of 79090 that divides 79090 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 719, 1438, 3595, 7190, 7909, 15818, 39545

Step-4: Factors of 79110

List of positive integer factors of 79110 that divides 79090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 293, 586, 879, 1465, 1758, 2637, 2930, 4395, 5274, 7911, 8790, 13185, 15822, 26370, 39555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79090 and 79110. The biggest common factor number is the GCF number.
So the greatest common factor 79090 and 79110 is 10.

Also check out the Least Common Multiple of 79090 and 79110