What is the Greatest Common Factor of 78780 and 78790?

Greatest common factor (GCF) of 78780 and 78790 is 10.

GCF(78780,78790) = 10

We will now calculate the prime factors of 78780 and 78790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78780 and 78790.

How to find the GCF of 78780 and 78790?

We will first find the prime factorization of 78780 and 78790. After we will calculate the factors of 78780 and 78790 and find the biggest common factor number .

Step-1: Prime Factorization of 78780

Prime factors of 78780 are 2, 3, 5, 13, 101. Prime factorization of 78780 in exponential form is:

78780 = 2² × 3¹ × 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 78790

Prime factors of 78790 are 2, 5, 7879. Prime factorization of 78790 in exponential form is:

78790 = 2¹ × 5¹ × 7879¹

Step-3: Factors of 78780

List of positive integer factors of 78780 that divides 78780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 101, 130, 156, 195, 202, 260, 303, 390, 404, 505, 606, 780, 1010, 1212, 1313, 1515, 2020, 2626, 3030, 3939, 5252, 6060, 6565, 7878, 13130, 15756, 19695, 26260, 39390

Step-4: Factors of 78790

List of positive integer factors of 78790 that divides 78780 without a remainder.

1, 2, 5, 10, 7879, 15758, 39395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78780 and 78790. The biggest common factor number is the GCF number.
So the greatest common factor 78780 and 78790 is 10.

Also check out the Least Common Multiple of 78780 and 78790