What is the Greatest Common Factor of 84144 and 84148?

Greatest common factor (GCF) of 84144 and 84148 is 4.

GCF(84144,84148) = 4

We will now calculate the prime factors of 84144 and 84148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84144 and 84148.

How to find the GCF of 84144 and 84148?

We will first find the prime factorization of 84144 and 84148. After we will calculate the factors of 84144 and 84148 and find the biggest common factor number .

Step-1: Prime Factorization of 84144

Prime factors of 84144 are 2, 3, 1753. Prime factorization of 84144 in exponential form is:

84144 = 2⁴ × 3¹ × 1753¹

Step-2: Prime Factorization of 84148

Prime factors of 84148 are 2, 109, 193. Prime factorization of 84148 in exponential form is:

84148 = 2² × 109¹ × 193¹

Step-3: Factors of 84144

List of positive integer factors of 84144 that divides 84144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1753, 3506, 5259, 7012, 10518, 14024, 21036, 28048, 42072

Step-4: Factors of 84148

List of positive integer factors of 84148 that divides 84144 without a remainder.

1, 2, 4, 109, 193, 218, 386, 436, 772, 21037, 42074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84144 and 84148. The biggest common factor number is the GCF number.
So the greatest common factor 84144 and 84148 is 4.

Also check out the Least Common Multiple of 84144 and 84148