What is the Greatest Common Factor of 78780 and 78788?

Greatest common factor (GCF) of 78780 and 78788 is 4.

GCF(78780,78788) = 4

We will now calculate the prime factors of 78780 and 78788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78780 and 78788.

How to find the GCF of 78780 and 78788?

We will first find the prime factorization of 78780 and 78788. After we will calculate the factors of 78780 and 78788 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 78788

Prime factors of 78788 are 2, 19697. Prime factorization of 78788 in exponential form is:

78788 = 2² × 19697¹

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 78788

List of positive integer factors of 78788 that divides 78780 without a remainder.

1, 2, 4, 19697, 39394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78780 and 78788. The biggest common factor number is the GCF number.
So the greatest common factor 78780 and 78788 is 4.

Also check out the Least Common Multiple of 78780 and 78788