What is the Greatest Common Factor of 78749 and 78760?

Greatest common factor (GCF) of 78749 and 78760 is 11.

GCF(78749,78760) = 11

We will now calculate the prime factors of 78749 and 78760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78749 and 78760.

How to find the GCF of 78749 and 78760?

We will first find the prime factorization of 78749 and 78760. After we will calculate the factors of 78749 and 78760 and find the biggest common factor number .

Step-1: Prime Factorization of 78749

Prime factors of 78749 are 11, 7159. Prime factorization of 78749 in exponential form is:

78749 = 11¹ × 7159¹

Step-2: 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-3: Factors of 78749

List of positive integer factors of 78749 that divides 78749 without a remainder.

1, 11, 7159

Step-4: Factors of 78760

List of positive integer factors of 78760 that divides 78749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78749 and 78760. The biggest common factor number is the GCF number.
So the greatest common factor 78749 and 78760 is 11.

Also check out the Least Common Multiple of 78749 and 78760