What is the Greatest Common Factor of 84744 and 84760?

Greatest common factor (GCF) of 84744 and 84760 is 8.

GCF(84744,84760) = 8

We will now calculate the prime factors of 84744 and 84760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84744 and 84760.

How to find the GCF of 84744 and 84760?

We will first find the prime factorization of 84744 and 84760. After we will calculate the factors of 84744 and 84760 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 84760

Prime factors of 84760 are 2, 5, 13, 163. Prime factorization of 84760 in exponential form is:

84760 = 2³ × 5¹ × 13¹ × 163¹

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 84760

List of positive integer factors of 84760 that divides 84744 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 163, 260, 326, 520, 652, 815, 1304, 1630, 2119, 3260, 4238, 6520, 8476, 10595, 16952, 21190, 42380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84744 and 84760. The biggest common factor number is the GCF number.
So the greatest common factor 84744 and 84760 is 8.

Also check out the Least Common Multiple of 84744 and 84760