What is the Greatest Common Factor of 78280 and 78299?

Greatest common factor (GCF) of 78280 and 78299 is 19.

GCF(78280,78299) = 19

We will now calculate the prime factors of 78280 and 78299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78280 and 78299.

How to find the GCF of 78280 and 78299?

We will first find the prime factorization of 78280 and 78299. After we will calculate the factors of 78280 and 78299 and find the biggest common factor number .

Step-1: Prime Factorization of 78280

Prime factors of 78280 are 2, 5, 19, 103. Prime factorization of 78280 in exponential form is:

78280 = 2³ × 5¹ × 19¹ × 103¹

Step-2: Prime Factorization of 78299

Prime factors of 78299 are 13, 19, 317. Prime factorization of 78299 in exponential form is:

78299 = 13¹ × 19¹ × 317¹

Step-3: Factors of 78280

List of positive integer factors of 78280 that divides 78280 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 103, 152, 190, 206, 380, 412, 515, 760, 824, 1030, 1957, 2060, 3914, 4120, 7828, 9785, 15656, 19570, 39140

Step-4: Factors of 78299

List of positive integer factors of 78299 that divides 78280 without a remainder.

1, 13, 19, 247, 317, 4121, 6023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78280 and 78299. The biggest common factor number is the GCF number.
So the greatest common factor 78280 and 78299 is 19.

Also check out the Least Common Multiple of 78280 and 78299