What is the Greatest Common Factor of 84144 and 84157?

Greatest common factor (GCF) of 84144 and 84157 is 1.

GCF(84144,84157) = 1

We will now calculate the prime factors of 84144 and 84157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84144 and 84157.

How to find the GCF of 84144 and 84157?

We will first find the prime factorization of 84144 and 84157. After we will calculate the factors of 84144 and 84157 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 84157

Prime factors of 84157 are 23, 3659. Prime factorization of 84157 in exponential form is:

84157 = 23¹ × 3659¹

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 84157

List of positive integer factors of 84157 that divides 84144 without a remainder.

1, 23, 3659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84144 and 84157. The biggest common factor number is the GCF number.
So the greatest common factor 84144 and 84157 is 1.

Also check out the Least Common Multiple of 84144 and 84157