What is the Greatest Common Factor of 84768 and 84780?

Greatest common factor (GCF) of 84768 and 84780 is 12.

GCF(84768,84780) = 12

We will now calculate the prime factors of 84768 and 84780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84768 and 84780.

How to find the GCF of 84768 and 84780?

We will first find the prime factorization of 84768 and 84780. After we will calculate the factors of 84768 and 84780 and find the biggest common factor number .

Step-1: Prime Factorization of 84768

Prime factors of 84768 are 2, 3, 883. Prime factorization of 84768 in exponential form is:

84768 = 2⁵ × 3¹ × 883¹

Step-2: Prime Factorization of 84780

Prime factors of 84780 are 2, 3, 5, 157. Prime factorization of 84780 in exponential form is:

84780 = 2² × 3³ × 5¹ × 157¹

Step-3: Factors of 84768

List of positive integer factors of 84768 that divides 84768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 883, 1766, 2649, 3532, 5298, 7064, 10596, 14128, 21192, 28256, 42384

Step-4: Factors of 84780

List of positive integer factors of 84780 that divides 84768 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 157, 180, 270, 314, 471, 540, 628, 785, 942, 1413, 1570, 1884, 2355, 2826, 3140, 4239, 4710, 5652, 7065, 8478, 9420, 14130, 16956, 21195, 28260, 42390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84768 and 84780. The biggest common factor number is the GCF number.
So the greatest common factor 84768 and 84780 is 12.

Also check out the Least Common Multiple of 84768 and 84780