What is the Greatest Common Factor of 80610 and 80620?

Greatest common factor (GCF) of 80610 and 80620 is 10.

GCF(80610,80620) = 10

We will now calculate the prime factors of 80610 and 80620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80610 and 80620.

How to find the GCF of 80610 and 80620?

We will first find the prime factorization of 80610 and 80620. After we will calculate the factors of 80610 and 80620 and find the biggest common factor number .

Step-1: Prime Factorization of 80610

Prime factors of 80610 are 2, 3, 5, 2687. Prime factorization of 80610 in exponential form is:

80610 = 2¹ × 3¹ × 5¹ × 2687¹

Step-2: Prime Factorization of 80620

Prime factors of 80620 are 2, 5, 29, 139. Prime factorization of 80620 in exponential form is:

80620 = 2² × 5¹ × 29¹ × 139¹

Step-3: Factors of 80610

List of positive integer factors of 80610 that divides 80610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2687, 5374, 8061, 13435, 16122, 26870, 40305

Step-4: Factors of 80620

List of positive integer factors of 80620 that divides 80610 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 139, 145, 278, 290, 556, 580, 695, 1390, 2780, 4031, 8062, 16124, 20155, 40310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80610 and 80620. The biggest common factor number is the GCF number.
So the greatest common factor 80610 and 80620 is 10.

Also check out the Least Common Multiple of 80610 and 80620