What is the Greatest Common Factor of 84912 and 84929?

Greatest common factor (GCF) of 84912 and 84929 is 1.

GCF(84912,84929) = 1

We will now calculate the prime factors of 84912 and 84929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84912 and 84929.

How to find the GCF of 84912 and 84929?

We will first find the prime factorization of 84912 and 84929. After we will calculate the factors of 84912 and 84929 and find the biggest common factor number .

Step-1: Prime Factorization of 84912

Prime factors of 84912 are 2, 3, 29, 61. Prime factorization of 84912 in exponential form is:

84912 = 2⁴ × 3¹ × 29¹ × 61¹

Step-2: Prime Factorization of 84929

Prime factors of 84929 are 13, 47, 139. Prime factorization of 84929 in exponential form is:

84929 = 13¹ × 47¹ × 139¹

Step-3: Factors of 84912

List of positive integer factors of 84912 that divides 84912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 61, 87, 116, 122, 174, 183, 232, 244, 348, 366, 464, 488, 696, 732, 976, 1392, 1464, 1769, 2928, 3538, 5307, 7076, 10614, 14152, 21228, 28304, 42456

Step-4: Factors of 84929

List of positive integer factors of 84929 that divides 84912 without a remainder.

1, 13, 47, 139, 611, 1807, 6533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84912 and 84929. The biggest common factor number is the GCF number.
So the greatest common factor 84912 and 84929 is 1.

Also check out the Least Common Multiple of 84912 and 84929