What is the Greatest Common Factor of 80660 and 80674?

Greatest common factor (GCF) of 80660 and 80674 is 2.

GCF(80660,80674) = 2

We will now calculate the prime factors of 80660 and 80674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80660 and 80674.

How to find the GCF of 80660 and 80674?

We will first find the prime factorization of 80660 and 80674. After we will calculate the factors of 80660 and 80674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80674

Prime factors of 80674 are 2, 11, 19, 193. Prime factorization of 80674 in exponential form is:

80674 = 2¹ × 11¹ × 19¹ × 193¹

Step-3: Factors of 80660

List of positive integer factors of 80660 that divides 80660 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

Step-4: Factors of 80674

List of positive integer factors of 80674 that divides 80660 without a remainder.

1, 2, 11, 19, 22, 38, 193, 209, 386, 418, 2123, 3667, 4246, 7334, 40337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80660 and 80674. The biggest common factor number is the GCF number.
So the greatest common factor 80660 and 80674 is 2.

Also check out the Least Common Multiple of 80660 and 80674