What is the Greatest Common Factor of 80780 and 80798?

Greatest common factor (GCF) of 80780 and 80798 is 2.

GCF(80780,80798) = 2

We will now calculate the prime factors of 80780 and 80798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80780 and 80798.

How to find the GCF of 80780 and 80798?

We will first find the prime factorization of 80780 and 80798. After we will calculate the factors of 80780 and 80798 and find the biggest common factor number .

Step-1: Prime Factorization of 80780

Prime factors of 80780 are 2, 5, 7, 577. Prime factorization of 80780 in exponential form is:

80780 = 2² × 5¹ × 7¹ × 577¹

Step-2: Prime Factorization of 80798

Prime factors of 80798 are 2, 71, 569. Prime factorization of 80798 in exponential form is:

80798 = 2¹ × 71¹ × 569¹

Step-3: Factors of 80780

List of positive integer factors of 80780 that divides 80780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 577, 1154, 2308, 2885, 4039, 5770, 8078, 11540, 16156, 20195, 40390

Step-4: Factors of 80798

List of positive integer factors of 80798 that divides 80780 without a remainder.

1, 2, 71, 142, 569, 1138, 40399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80780 and 80798. The biggest common factor number is the GCF number.
So the greatest common factor 80780 and 80798 is 2.

Also check out the Least Common Multiple of 80780 and 80798