What is the Greatest Common Factor of 79080 and 79090?

Greatest common factor (GCF) of 79080 and 79090 is 10.

GCF(79080,79090) = 10

We will now calculate the prime factors of 79080 and 79090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79080 and 79090.

How to find the GCF of 79080 and 79090?

We will first find the prime factorization of 79080 and 79090. After we will calculate the factors of 79080 and 79090 and find the biggest common factor number .

Step-1: Prime Factorization of 79080

Prime factors of 79080 are 2, 3, 5, 659. Prime factorization of 79080 in exponential form is:

79080 = 2³ × 3¹ × 5¹ × 659¹

Step-2: 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-3: Factors of 79080

List of positive integer factors of 79080 that divides 79080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 659, 1318, 1977, 2636, 3295, 3954, 5272, 6590, 7908, 9885, 13180, 15816, 19770, 26360, 39540

Step-4: Factors of 79090

List of positive integer factors of 79090 that divides 79080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79080 and 79090. The biggest common factor number is the GCF number.
So the greatest common factor 79080 and 79090 is 10.

Also check out the Least Common Multiple of 79080 and 79090