What is the Greatest Common Factor of 78735 and 78740?

Greatest common factor (GCF) of 78735 and 78740 is 5.

GCF(78735,78740) = 5

We will now calculate the prime factors of 78735 and 78740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78735 and 78740.

How to find the GCF of 78735 and 78740?

We will first find the prime factorization of 78735 and 78740. After we will calculate the factors of 78735 and 78740 and find the biggest common factor number .

Step-1: Prime Factorization of 78735

Prime factors of 78735 are 3, 5, 29, 181. Prime factorization of 78735 in exponential form is:

78735 = 3¹ × 5¹ × 29¹ × 181¹

Step-2: 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-3: Factors of 78735

List of positive integer factors of 78735 that divides 78735 without a remainder.

1, 3, 5, 15, 29, 87, 145, 181, 435, 543, 905, 2715, 5249, 15747, 26245

Step-4: Factors of 78740

List of positive integer factors of 78740 that divides 78735 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78735 and 78740. The biggest common factor number is the GCF number.
So the greatest common factor 78735 and 78740 is 5.

Also check out the Least Common Multiple of 78735 and 78740