What is the Greatest Common Factor of 78724 and 78728?

Greatest common factor (GCF) of 78724 and 78728 is 4.

GCF(78724,78728) = 4

We will now calculate the prime factors of 78724 and 78728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78724 and 78728.

How to find the GCF of 78724 and 78728?

We will first find the prime factorization of 78724 and 78728. After we will calculate the factors of 78724 and 78728 and find the biggest common factor number .

Step-1: Prime Factorization of 78724

Prime factors of 78724 are 2, 19681. Prime factorization of 78724 in exponential form is:

78724 = 2² × 19681¹

Step-2: Prime Factorization of 78728

Prime factors of 78728 are 2, 13, 757. Prime factorization of 78728 in exponential form is:

78728 = 2³ × 13¹ × 757¹

Step-3: Factors of 78724

List of positive integer factors of 78724 that divides 78724 without a remainder.

1, 2, 4, 19681, 39362

Step-4: Factors of 78728

List of positive integer factors of 78728 that divides 78724 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 757, 1514, 3028, 6056, 9841, 19682, 39364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78724 and 78728. The biggest common factor number is the GCF number.
So the greatest common factor 78724 and 78728 is 4.

Also check out the Least Common Multiple of 78724 and 78728