What is the Greatest Common Factor of 84656 and 84669?

Greatest common factor (GCF) of 84656 and 84669 is 13.

GCF(84656,84669) = 13

We will now calculate the prime factors of 84656 and 84669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84656 and 84669.

How to find the GCF of 84656 and 84669?

We will first find the prime factorization of 84656 and 84669. After we will calculate the factors of 84656 and 84669 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84669

Prime factors of 84669 are 3, 13, 167. Prime factorization of 84669 in exponential form is:

84669 = 3¹ × 13² × 167¹

Step-3: Factors of 84656

List of positive integer factors of 84656 that divides 84656 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

Step-4: Factors of 84669

List of positive integer factors of 84669 that divides 84656 without a remainder.

1, 3, 13, 39, 167, 169, 501, 507, 2171, 6513, 28223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84656 and 84669. The biggest common factor number is the GCF number.
So the greatest common factor 84656 and 84669 is 13.

Also check out the Least Common Multiple of 84656 and 84669