What is the Greatest Common Factor of 78752 and 78772?

Greatest common factor (GCF) of 78752 and 78772 is 4.

GCF(78752,78772) = 4

We will now calculate the prime factors of 78752 and 78772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78752 and 78772.

How to find the GCF of 78752 and 78772?

We will first find the prime factorization of 78752 and 78772. After we will calculate the factors of 78752 and 78772 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78772

Prime factors of 78772 are 2, 47, 419. Prime factorization of 78772 in exponential form is:

78772 = 2² × 47¹ × 419¹

Step-3: Factors of 78752

List of positive integer factors of 78752 that divides 78752 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

Step-4: Factors of 78772

List of positive integer factors of 78772 that divides 78752 without a remainder.

1, 2, 4, 47, 94, 188, 419, 838, 1676, 19693, 39386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78752 and 78772. The biggest common factor number is the GCF number.
So the greatest common factor 78752 and 78772 is 4.

Also check out the Least Common Multiple of 78752 and 78772