What is the Greatest Common Factor of 78164 and 78180?

Greatest common factor (GCF) of 78164 and 78180 is 4.

GCF(78164,78180) = 4

We will now calculate the prime factors of 78164 and 78180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78164 and 78180.

How to find the GCF of 78164 and 78180?

We will first find the prime factorization of 78164 and 78180. After we will calculate the factors of 78164 and 78180 and find the biggest common factor number .

Step-1: Prime Factorization of 78164

Prime factors of 78164 are 2, 19541. Prime factorization of 78164 in exponential form is:

78164 = 2² × 19541¹

Step-2: Prime Factorization of 78180

Prime factors of 78180 are 2, 3, 5, 1303. Prime factorization of 78180 in exponential form is:

78180 = 2² × 3¹ × 5¹ × 1303¹

Step-3: Factors of 78164

List of positive integer factors of 78164 that divides 78164 without a remainder.

1, 2, 4, 19541, 39082

Step-4: Factors of 78180

List of positive integer factors of 78180 that divides 78164 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1303, 2606, 3909, 5212, 6515, 7818, 13030, 15636, 19545, 26060, 39090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78164 and 78180. The biggest common factor number is the GCF number.
So the greatest common factor 78164 and 78180 is 4.

Also check out the Least Common Multiple of 78164 and 78180