What is the Greatest Common Factor of 78352 and 78368?

Greatest common factor (GCF) of 78352 and 78368 is 16.

GCF(78352,78368) = 16

We will now calculate the prime factors of 78352 and 78368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78352 and 78368.

How to find the GCF of 78352 and 78368?

We will first find the prime factorization of 78352 and 78368. After we will calculate the factors of 78352 and 78368 and find the biggest common factor number .

Step-1: Prime Factorization of 78352

Prime factors of 78352 are 2, 59, 83. Prime factorization of 78352 in exponential form is:

78352 = 2⁴ × 59¹ × 83¹

Step-2: 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-3: Factors of 78352

List of positive integer factors of 78352 that divides 78352 without a remainder.

1, 2, 4, 8, 16, 59, 83, 118, 166, 236, 332, 472, 664, 944, 1328, 4897, 9794, 19588, 39176

Step-4: Factors of 78368

List of positive integer factors of 78368 that divides 78352 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78352 and 78368. The biggest common factor number is the GCF number.
So the greatest common factor 78352 and 78368 is 16.

Also check out the Least Common Multiple of 78352 and 78368