What is the Greatest Common Factor of 84744 and 84762?

Greatest common factor (GCF) of 84744 and 84762 is 18.

GCF(84744,84762) = 18

We will now calculate the prime factors of 84744 and 84762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84744 and 84762.

How to find the GCF of 84744 and 84762?

We will first find the prime factorization of 84744 and 84762. After we will calculate the factors of 84744 and 84762 and find the biggest common factor number .

Step-1: Prime Factorization of 84744

Prime factors of 84744 are 2, 3, 11, 107. Prime factorization of 84744 in exponential form is:

84744 = 2³ × 3² × 11¹ × 107¹

Step-2: 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-3: Factors of 84744

List of positive integer factors of 84744 that divides 84744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 107, 132, 198, 214, 264, 321, 396, 428, 642, 792, 856, 963, 1177, 1284, 1926, 2354, 2568, 3531, 3852, 4708, 7062, 7704, 9416, 10593, 14124, 21186, 28248, 42372

Step-4: Factors of 84762

List of positive integer factors of 84762 that divides 84744 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84744 and 84762. The biggest common factor number is the GCF number.
So the greatest common factor 84744 and 84762 is 18.

Also check out the Least Common Multiple of 84744 and 84762