What is the Greatest Common Factor of 84762 and 84780?

Greatest common factor (GCF) of 84762 and 84780 is 18.

GCF(84762,84780) = 18

We will now calculate the prime factors of 84762 and 84780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84762 and 84780.

How to find the GCF of 84762 and 84780?

We will first find the prime factorization of 84762 and 84780. After we will calculate the factors of 84762 and 84780 and find the biggest common factor number .

Step-1: Prime Factorization of 84762

Prime factors of 84762 are 2, 3, 17, 277. Prime factorization of 84762 in exponential form is:

84762 = 2¹ × 3² × 17¹ × 277¹

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 84762

List of positive integer factors of 84762 that divides 84762 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 277, 306, 554, 831, 1662, 2493, 4709, 4986, 9418, 14127, 28254, 42381

Step-4: Factors of 84780

List of positive integer factors of 84780 that divides 84762 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 84762 and 84780. The biggest common factor number is the GCF number.
So the greatest common factor 84762 and 84780 is 18.

Also check out the Least Common Multiple of 84762 and 84780