What is the Greatest Common Factor of 80650 and 80662?

Greatest common factor (GCF) of 80650 and 80662 is 2.

GCF(80650,80662) = 2

We will now calculate the prime factors of 80650 and 80662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80650 and 80662.

How to find the GCF of 80650 and 80662?

We will first find the prime factorization of 80650 and 80662. After we will calculate the factors of 80650 and 80662 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 80662

Prime factors of 80662 are 2, 31, 1301. Prime factorization of 80662 in exponential form is:

80662 = 2¹ × 31¹ × 1301¹

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 80662

List of positive integer factors of 80662 that divides 80650 without a remainder.

1, 2, 31, 62, 1301, 2602, 40331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80650 and 80662. The biggest common factor number is the GCF number.
So the greatest common factor 80650 and 80662 is 2.

Also check out the Least Common Multiple of 80650 and 80662