What is the Greatest Common Factor of 78767 and 78780?

Greatest common factor (GCF) of 78767 and 78780 is 13.

GCF(78767,78780) = 13

We will now calculate the prime factors of 78767 and 78780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78767 and 78780.

How to find the GCF of 78767 and 78780?

We will first find the prime factorization of 78767 and 78780. After we will calculate the factors of 78767 and 78780 and find the biggest common factor number .

Step-1: Prime Factorization of 78767

Prime factors of 78767 are 13, 73, 83. Prime factorization of 78767 in exponential form is:

78767 = 13¹ × 73¹ × 83¹

Step-2: 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-3: Factors of 78767

List of positive integer factors of 78767 that divides 78767 without a remainder.

1, 13, 73, 83, 949, 1079, 6059

Step-4: Factors of 78780

List of positive integer factors of 78780 that divides 78767 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78767 and 78780. The biggest common factor number is the GCF number.
So the greatest common factor 78767 and 78780 is 13.

Also check out the Least Common Multiple of 78767 and 78780