What is the Greatest Common Factor of 78736 and 78752?

Greatest common factor (GCF) of 78736 and 78752 is 16.

GCF(78736,78752) = 16

We will now calculate the prime factors of 78736 and 78752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78736 and 78752.

How to find the GCF of 78736 and 78752?

We will first find the prime factorization of 78736 and 78752. After we will calculate the factors of 78736 and 78752 and find the biggest common factor number .

Step-1: Prime Factorization of 78736

Prime factors of 78736 are 2, 7, 19, 37. Prime factorization of 78736 in exponential form is:

78736 = 2⁴ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 78752

Prime factors of 78752 are 2, 23, 107. Prime factorization of 78752 in exponential form is:

78752 = 2⁵ × 23¹ × 107¹

Step-3: Factors of 78736

List of positive integer factors of 78736 that divides 78736 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 37, 38, 56, 74, 76, 112, 133, 148, 152, 259, 266, 296, 304, 518, 532, 592, 703, 1036, 1064, 1406, 2072, 2128, 2812, 4144, 4921, 5624, 9842, 11248, 19684, 39368

Step-4: Factors of 78752

List of positive integer factors of 78752 that divides 78736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 107, 184, 214, 368, 428, 736, 856, 1712, 2461, 3424, 4922, 9844, 19688, 39376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78736 and 78752. The biggest common factor number is the GCF number.
So the greatest common factor 78736 and 78752 is 16.

Also check out the Least Common Multiple of 78736 and 78752