What is the Greatest Common Factor of 84912 and 84932?

Greatest common factor (GCF) of 84912 and 84932 is 4.

GCF(84912,84932) = 4

We will now calculate the prime factors of 84912 and 84932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84912 and 84932.

How to find the GCF of 84912 and 84932?

We will first find the prime factorization of 84912 and 84932. After we will calculate the factors of 84912 and 84932 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 84932

Prime factors of 84932 are 2, 17, 1249. Prime factorization of 84932 in exponential form is:

84932 = 2² × 17¹ × 1249¹

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 84932

List of positive integer factors of 84932 that divides 84912 without a remainder.

1, 2, 4, 17, 34, 68, 1249, 2498, 4996, 21233, 42466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84912 and 84932. The biggest common factor number is the GCF number.
So the greatest common factor 84912 and 84932 is 4.

Also check out the Least Common Multiple of 84912 and 84932