What is the Greatest Common Factor of 78807 and 78820?

Greatest common factor (GCF) of 78807 and 78820 is 1.

GCF(78807,78820) = 1

We will now calculate the prime factors of 78807 and 78820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78807 and 78820.

How to find the GCF of 78807 and 78820?

We will first find the prime factorization of 78807 and 78820. After we will calculate the factors of 78807 and 78820 and find the biggest common factor number .

Step-1: Prime Factorization of 78807

Prime factors of 78807 are 3, 109, 241. Prime factorization of 78807 in exponential form is:

78807 = 3¹ × 109¹ × 241¹

Step-2: Prime Factorization of 78820

Prime factors of 78820 are 2, 5, 7, 563. Prime factorization of 78820 in exponential form is:

78820 = 2² × 5¹ × 7¹ × 563¹

Step-3: Factors of 78807

List of positive integer factors of 78807 that divides 78807 without a remainder.

1, 3, 109, 241, 327, 723, 26269

Step-4: Factors of 78820

List of positive integer factors of 78820 that divides 78807 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 563, 1126, 2252, 2815, 3941, 5630, 7882, 11260, 15764, 19705, 39410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78807 and 78820. The biggest common factor number is the GCF number.
So the greatest common factor 78807 and 78820 is 1.

Also check out the Least Common Multiple of 78807 and 78820