What is the Greatest Common Factor of 84124 and 84128?

Greatest common factor (GCF) of 84124 and 84128 is 4.

GCF(84124,84128) = 4

We will now calculate the prime factors of 84124 and 84128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84124 and 84128.

How to find the GCF of 84124 and 84128?

We will first find the prime factorization of 84124 and 84128. After we will calculate the factors of 84124 and 84128 and find the biggest common factor number .

Step-1: Prime Factorization of 84124

Prime factors of 84124 are 2, 21031. Prime factorization of 84124 in exponential form is:

84124 = 2² × 21031¹

Step-2: Prime Factorization of 84128

Prime factors of 84128 are 2, 11, 239. Prime factorization of 84128 in exponential form is:

84128 = 2⁵ × 11¹ × 239¹

Step-3: Factors of 84124

List of positive integer factors of 84124 that divides 84124 without a remainder.

1, 2, 4, 21031, 42062

Step-4: Factors of 84128

List of positive integer factors of 84128 that divides 84124 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 239, 352, 478, 956, 1912, 2629, 3824, 5258, 7648, 10516, 21032, 42064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84124 and 84128. The biggest common factor number is the GCF number.
So the greatest common factor 84124 and 84128 is 4.

Also check out the Least Common Multiple of 84124 and 84128