What is the Greatest Common Factor of 78760 and 78772?

Greatest common factor (GCF) of 78760 and 78772 is 4.

GCF(78760,78772) = 4

We will now calculate the prime factors of 78760 and 78772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78760 and 78772.

How to find the GCF of 78760 and 78772?

We will first find the prime factorization of 78760 and 78772. After we will calculate the factors of 78760 and 78772 and find the biggest common factor number .

Step-1: Prime Factorization of 78760

Prime factors of 78760 are 2, 5, 11, 179. Prime factorization of 78760 in exponential form is:

78760 = 2³ × 5¹ × 11¹ × 179¹

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 78760

List of positive integer factors of 78760 that divides 78760 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 179, 220, 358, 440, 716, 895, 1432, 1790, 1969, 3580, 3938, 7160, 7876, 9845, 15752, 19690, 39380

Step-4: Factors of 78772

List of positive integer factors of 78772 that divides 78760 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 78760 and 78772. The biggest common factor number is the GCF number.
So the greatest common factor 78760 and 78772 is 4.

Also check out the Least Common Multiple of 78760 and 78772