What is the Greatest Common Factor of 78740 and 78760?

Greatest common factor (GCF) of 78740 and 78760 is 20.

GCF(78740,78760) = 20

We will now calculate the prime factors of 78740 and 78760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78740 and 78760.

How to find the GCF of 78740 and 78760?

We will first find the prime factorization of 78740 and 78760. After we will calculate the factors of 78740 and 78760 and find the biggest common factor number .

Step-1: Prime Factorization of 78740

Prime factors of 78740 are 2, 5, 31, 127. Prime factorization of 78740 in exponential form is:

78740 = 2² × 5¹ × 31¹ × 127¹

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 78740

List of positive integer factors of 78740 that divides 78740 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 127, 155, 254, 310, 508, 620, 635, 1270, 2540, 3937, 7874, 15748, 19685, 39370

Step-4: Factors of 78760

List of positive integer factors of 78760 that divides 78740 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 78740 and 78760. The biggest common factor number is the GCF number.
So the greatest common factor 78740 and 78760 is 20.

Also check out the Least Common Multiple of 78740 and 78760