What is the Greatest Common Factor of 78280 and 78296?

Greatest common factor (GCF) of 78280 and 78296 is 8.

GCF(78280,78296) = 8

We will now calculate the prime factors of 78280 and 78296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78280 and 78296.

How to find the GCF of 78280 and 78296?

We will first find the prime factorization of 78280 and 78296. After we will calculate the factors of 78280 and 78296 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 78296

Prime factors of 78296 are 2, 9787. Prime factorization of 78296 in exponential form is:

78296 = 2³ × 9787¹

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 78296

List of positive integer factors of 78296 that divides 78280 without a remainder.

1, 2, 4, 8, 9787, 19574, 39148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78280 and 78296. The biggest common factor number is the GCF number.
So the greatest common factor 78280 and 78296 is 8.

Also check out the Least Common Multiple of 78280 and 78296