What is the Greatest Common Factor of 78096 and 78116?

Greatest common factor (GCF) of 78096 and 78116 is 4.

GCF(78096,78116) = 4

We will now calculate the prime factors of 78096 and 78116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78096 and 78116.

How to find the GCF of 78096 and 78116?

We will first find the prime factorization of 78096 and 78116. After we will calculate the factors of 78096 and 78116 and find the biggest common factor number .

Step-1: Prime Factorization of 78096

Prime factors of 78096 are 2, 3, 1627. Prime factorization of 78096 in exponential form is:

78096 = 2⁴ × 3¹ × 1627¹

Step-2: Prime Factorization of 78116

Prime factors of 78116 are 2, 59, 331. Prime factorization of 78116 in exponential form is:

78116 = 2² × 59¹ × 331¹

Step-3: Factors of 78096

List of positive integer factors of 78096 that divides 78096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1627, 3254, 4881, 6508, 9762, 13016, 19524, 26032, 39048

Step-4: Factors of 78116

List of positive integer factors of 78116 that divides 78096 without a remainder.

1, 2, 4, 59, 118, 236, 331, 662, 1324, 19529, 39058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78096 and 78116. The biggest common factor number is the GCF number.
So the greatest common factor 78096 and 78116 is 4.

Also check out the Least Common Multiple of 78096 and 78116