What is the Greatest Common Factor of 78768 and 78780?

Greatest common factor (GCF) of 78768 and 78780 is 12.

GCF(78768,78780) = 12

We will now calculate the prime factors of 78768 and 78780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78768 and 78780.

How to find the GCF of 78768 and 78780?

We will first find the prime factorization of 78768 and 78780. After we will calculate the factors of 78768 and 78780 and find the biggest common factor number .

Step-1: Prime Factorization of 78768

Prime factors of 78768 are 2, 3, 547. Prime factorization of 78768 in exponential form is:

78768 = 2⁴ × 3² × 547¹

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 78768

List of positive integer factors of 78768 that divides 78768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 547, 1094, 1641, 2188, 3282, 4376, 4923, 6564, 8752, 9846, 13128, 19692, 26256, 39384

Step-4: Factors of 78780

List of positive integer factors of 78780 that divides 78768 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 78768 and 78780. The biggest common factor number is the GCF number.
So the greatest common factor 78768 and 78780 is 12.

Also check out the Least Common Multiple of 78768 and 78780