What is the Greatest Common Factor of 80780 and 80785?

Greatest common factor (GCF) of 80780 and 80785 is 5.

GCF(80780,80785) = 5

We will now calculate the prime factors of 80780 and 80785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80780 and 80785.

How to find the GCF of 80780 and 80785?

We will first find the prime factorization of 80780 and 80785. After we will calculate the factors of 80780 and 80785 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 80785

Prime factors of 80785 are 5, 107, 151. Prime factorization of 80785 in exponential form is:

80785 = 5¹ × 107¹ × 151¹

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 80785

List of positive integer factors of 80785 that divides 80780 without a remainder.

1, 5, 107, 151, 535, 755, 16157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80780 and 80785. The biggest common factor number is the GCF number.
So the greatest common factor 80780 and 80785 is 5.

Also check out the Least Common Multiple of 80780 and 80785