What is the Greatest Common Factor of 78176 and 78196?

Greatest common factor (GCF) of 78176 and 78196 is 4.

GCF(78176,78196) = 4

We will now calculate the prime factors of 78176 and 78196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78176 and 78196.

How to find the GCF of 78176 and 78196?

We will first find the prime factorization of 78176 and 78196. After we will calculate the factors of 78176 and 78196 and find the biggest common factor number .

Step-1: Prime Factorization of 78176

Prime factors of 78176 are 2, 7, 349. Prime factorization of 78176 in exponential form is:

78176 = 2⁵ × 7¹ × 349¹

Step-2: Prime Factorization of 78196

Prime factors of 78196 are 2, 113, 173. Prime factorization of 78196 in exponential form is:

78196 = 2² × 113¹ × 173¹

Step-3: Factors of 78176

List of positive integer factors of 78176 that divides 78176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 349, 698, 1396, 2443, 2792, 4886, 5584, 9772, 11168, 19544, 39088

Step-4: Factors of 78196

List of positive integer factors of 78196 that divides 78176 without a remainder.

1, 2, 4, 113, 173, 226, 346, 452, 692, 19549, 39098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78176 and 78196. The biggest common factor number is the GCF number.
So the greatest common factor 78176 and 78196 is 4.

Also check out the Least Common Multiple of 78176 and 78196