What is the Greatest Common Factor of 78368 and 78372?

Greatest common factor (GCF) of 78368 and 78372 is 4.

GCF(78368,78372) = 4

We will now calculate the prime factors of 78368 and 78372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78368 and 78372.

How to find the GCF of 78368 and 78372?

We will first find the prime factorization of 78368 and 78372. After we will calculate the factors of 78368 and 78372 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 78372

Prime factors of 78372 are 2, 3, 7, 311. Prime factorization of 78372 in exponential form is:

78372 = 2² × 3² × 7¹ × 311¹

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 78372

List of positive integer factors of 78372 that divides 78368 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 311, 622, 933, 1244, 1866, 2177, 2799, 3732, 4354, 5598, 6531, 8708, 11196, 13062, 19593, 26124, 39186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78368 and 78372. The biggest common factor number is the GCF number.
So the greatest common factor 78368 and 78372 is 4.

Also check out the Least Common Multiple of 78368 and 78372