What is the Greatest Common Factor of 78368 and 78380?

Greatest common factor (GCF) of 78368 and 78380 is 4.

GCF(78368,78380) = 4

We will now calculate the prime factors of 78368 and 78380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78368 and 78380.

How to find the GCF of 78368 and 78380?

We will first find the prime factorization of 78368 and 78380. After we will calculate the factors of 78368 and 78380 and find the biggest common factor number .

Step-1: Prime Factorization of 78368

Prime factors of 78368 are 2, 31, 79. Prime factorization of 78368 in exponential form is:

78368 = 2⁵ × 31¹ × 79¹

Step-2: Prime Factorization of 78380

Prime factors of 78380 are 2, 5, 3919. Prime factorization of 78380 in exponential form is:

78380 = 2² × 5¹ × 3919¹

Step-3: Factors of 78368

List of positive integer factors of 78368 that divides 78368 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 79, 124, 158, 248, 316, 496, 632, 992, 1264, 2449, 2528, 4898, 9796, 19592, 39184

Step-4: Factors of 78380

List of positive integer factors of 78380 that divides 78368 without a remainder.

1, 2, 4, 5, 10, 20, 3919, 7838, 15676, 19595, 39190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78368 and 78380. The biggest common factor number is the GCF number.
So the greatest common factor 78368 and 78380 is 4.

Also check out the Least Common Multiple of 78368 and 78380