What is the Greatest Common Factor of 78780 and 78784?

Greatest common factor (GCF) of 78780 and 78784 is 4.

GCF(78780,78784) = 4

We will now calculate the prime factors of 78780 and 78784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78780 and 78784.

How to find the GCF of 78780 and 78784?

We will first find the prime factorization of 78780 and 78784. After we will calculate the factors of 78780 and 78784 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 78784

Prime factors of 78784 are 2, 1231. Prime factorization of 78784 in exponential form is:

78784 = 2⁶ × 1231¹

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 78784

List of positive integer factors of 78784 that divides 78780 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1231, 2462, 4924, 9848, 19696, 39392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78780 and 78784. The biggest common factor number is the GCF number.
So the greatest common factor 78780 and 78784 is 4.

Also check out the Least Common Multiple of 78780 and 78784