What is the Greatest Common Factor of 80780 and 80797?

Greatest common factor (GCF) of 80780 and 80797 is 1.

GCF(80780,80797) = 1

We will now calculate the prime factors of 80780 and 80797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80780 and 80797.

How to find the GCF of 80780 and 80797?

We will first find the prime factorization of 80780 and 80797. After we will calculate the factors of 80780 and 80797 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 80797

Prime factors of 80797 are 43, 1879. Prime factorization of 80797 in exponential form is:

80797 = 43¹ × 1879¹

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 80797

List of positive integer factors of 80797 that divides 80780 without a remainder.

1, 43, 1879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80780 and 80797. The biggest common factor number is the GCF number.
So the greatest common factor 80780 and 80797 is 1.

Also check out the Least Common Multiple of 80780 and 80797