What is the Greatest Common Factor of 84744 and 84752?

Greatest common factor (GCF) of 84744 and 84752 is 8.

GCF(84744,84752) = 8

We will now calculate the prime factors of 84744 and 84752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84744 and 84752.

How to find the GCF of 84744 and 84752?

We will first find the prime factorization of 84744 and 84752. After we will calculate the factors of 84744 and 84752 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 84752

Prime factors of 84752 are 2, 5297. Prime factorization of 84752 in exponential form is:

84752 = 2⁴ × 5297¹

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 84752

List of positive integer factors of 84752 that divides 84744 without a remainder.

1, 2, 4, 8, 16, 5297, 10594, 21188, 42376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84744 and 84752. The biggest common factor number is the GCF number.
So the greatest common factor 84744 and 84752 is 8.

Also check out the Least Common Multiple of 84744 and 84752