What is the Greatest Common Factor of 78160 and 78176?

Greatest common factor (GCF) of 78160 and 78176 is 16.

GCF(78160,78176) = 16

We will now calculate the prime factors of 78160 and 78176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78160 and 78176.

How to find the GCF of 78160 and 78176?

We will first find the prime factorization of 78160 and 78176. After we will calculate the factors of 78160 and 78176 and find the biggest common factor number .

Step-1: Prime Factorization of 78160

Prime factors of 78160 are 2, 5, 977. Prime factorization of 78160 in exponential form is:

78160 = 2⁴ × 5¹ × 977¹

Step-2: 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-3: Factors of 78160

List of positive integer factors of 78160 that divides 78160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 977, 1954, 3908, 4885, 7816, 9770, 15632, 19540, 39080

Step-4: Factors of 78176

List of positive integer factors of 78176 that divides 78160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78160 and 78176. The biggest common factor number is the GCF number.
So the greatest common factor 78160 and 78176 is 16.

Also check out the Least Common Multiple of 78160 and 78176