What is the Greatest Common Factor of 78780 and 78797?

Greatest common factor (GCF) of 78780 and 78797 is 1.

GCF(78780,78797) = 1

We will now calculate the prime factors of 78780 and 78797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78780 and 78797.

How to find the GCF of 78780 and 78797?

We will first find the prime factorization of 78780 and 78797. After we will calculate the factors of 78780 and 78797 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 78797

Prime factors of 78797 are 78797. Prime factorization of 78797 in exponential form is:

78797 = 78797¹

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 78797

List of positive integer factors of 78797 that divides 78780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78780 and 78797. The biggest common factor number is the GCF number.
So the greatest common factor 78780 and 78797 is 1.

Also check out the Least Common Multiple of 78780 and 78797