What is the Greatest Common Factor of 84643 and 84656?

Greatest common factor (GCF) of 84643 and 84656 is 13.

GCF(84643,84656) = 13

We will now calculate the prime factors of 84643 and 84656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84643 and 84656.

How to find the GCF of 84643 and 84656?

We will first find the prime factorization of 84643 and 84656. After we will calculate the factors of 84643 and 84656 and find the biggest common factor number .

Step-1: Prime Factorization of 84643

Prime factors of 84643 are 13, 17, 383. Prime factorization of 84643 in exponential form is:

84643 = 13¹ × 17¹ × 383¹

Step-2: Prime Factorization of 84656

Prime factors of 84656 are 2, 11, 13, 37. Prime factorization of 84656 in exponential form is:

84656 = 2⁴ × 11¹ × 13¹ × 37¹

Step-3: Factors of 84643

List of positive integer factors of 84643 that divides 84643 without a remainder.

1, 13, 17, 221, 383, 4979, 6511

Step-4: Factors of 84656

List of positive integer factors of 84656 that divides 84643 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 37, 44, 52, 74, 88, 104, 143, 148, 176, 208, 286, 296, 407, 481, 572, 592, 814, 962, 1144, 1628, 1924, 2288, 3256, 3848, 5291, 6512, 7696, 10582, 21164, 42328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84643 and 84656. The biggest common factor number is the GCF number.
So the greatest common factor 84643 and 84656 is 13.

Also check out the Least Common Multiple of 84643 and 84656