What is the Greatest Common Factor of 78220 and 78228?

Greatest common factor (GCF) of 78220 and 78228 is 4.

GCF(78220,78228) = 4

We will now calculate the prime factors of 78220 and 78228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78220 and 78228.

How to find the GCF of 78220 and 78228?

We will first find the prime factorization of 78220 and 78228. After we will calculate the factors of 78220 and 78228 and find the biggest common factor number .

Step-1: Prime Factorization of 78220

Prime factors of 78220 are 2, 5, 3911. Prime factorization of 78220 in exponential form is:

78220 = 2² × 5¹ × 3911¹

Step-2: Prime Factorization of 78228

Prime factors of 78228 are 2, 3, 41, 53. Prime factorization of 78228 in exponential form is:

78228 = 2² × 3² × 41¹ × 53¹

Step-3: Factors of 78220

List of positive integer factors of 78220 that divides 78220 without a remainder.

1, 2, 4, 5, 10, 20, 3911, 7822, 15644, 19555, 39110

Step-4: Factors of 78228

List of positive integer factors of 78228 that divides 78220 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 53, 82, 106, 123, 159, 164, 212, 246, 318, 369, 477, 492, 636, 738, 954, 1476, 1908, 2173, 4346, 6519, 8692, 13038, 19557, 26076, 39114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78220 and 78228. The biggest common factor number is the GCF number.
So the greatest common factor 78220 and 78228 is 4.

Also check out the Least Common Multiple of 78220 and 78228