What is the Greatest Common Factor of 80780 and 80786?

Greatest common factor (GCF) of 80780 and 80786 is 2.

GCF(80780,80786) = 2

We will now calculate the prime factors of 80780 and 80786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80780 and 80786.

How to find the GCF of 80780 and 80786?

We will first find the prime factorization of 80780 and 80786. After we will calculate the factors of 80780 and 80786 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 80786

Prime factors of 80786 are 2, 31, 1303. Prime factorization of 80786 in exponential form is:

80786 = 2¹ × 31¹ × 1303¹

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 80786

List of positive integer factors of 80786 that divides 80780 without a remainder.

1, 2, 31, 62, 1303, 2606, 40393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80780 and 80786. The biggest common factor number is the GCF number.
So the greatest common factor 80780 and 80786 is 2.

Also check out the Least Common Multiple of 80780 and 80786