What is the Greatest Common Factor of 80650 and 80660?

Greatest common factor (GCF) of 80650 and 80660 is 10.

GCF(80650,80660) = 10

We will now calculate the prime factors of 80650 and 80660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80650 and 80660.

How to find the GCF of 80650 and 80660?

We will first find the prime factorization of 80650 and 80660. After we will calculate the factors of 80650 and 80660 and find the biggest common factor number .

Step-1: Prime Factorization of 80650

Prime factors of 80650 are 2, 5, 1613. Prime factorization of 80650 in exponential form is:

80650 = 2¹ × 5² × 1613¹

Step-2: Prime Factorization of 80660

Prime factors of 80660 are 2, 5, 37, 109. Prime factorization of 80660 in exponential form is:

80660 = 2² × 5¹ × 37¹ × 109¹

Step-3: Factors of 80650

List of positive integer factors of 80650 that divides 80650 without a remainder.

1, 2, 5, 10, 25, 50, 1613, 3226, 8065, 16130, 40325

Step-4: Factors of 80660

List of positive integer factors of 80660 that divides 80650 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 109, 148, 185, 218, 370, 436, 545, 740, 1090, 2180, 4033, 8066, 16132, 20165, 40330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80650 and 80660. The biggest common factor number is the GCF number.
So the greatest common factor 80650 and 80660 is 10.

Also check out the Least Common Multiple of 80650 and 80660