What is the Greatest Common Factor of 84140 and 84159?

Greatest common factor (GCF) of 84140 and 84159 is 1.

GCF(84140,84159) = 1

We will now calculate the prime factors of 84140 and 84159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84140 and 84159.

How to find the GCF of 84140 and 84159?

We will first find the prime factorization of 84140 and 84159. After we will calculate the factors of 84140 and 84159 and find the biggest common factor number .

Step-1: Prime Factorization of 84140

Prime factors of 84140 are 2, 5, 7, 601. Prime factorization of 84140 in exponential form is:

84140 = 2² × 5¹ × 7¹ × 601¹

Step-2: Prime Factorization of 84159

Prime factors of 84159 are 3, 1039. Prime factorization of 84159 in exponential form is:

84159 = 3⁴ × 1039¹

Step-3: Factors of 84140

List of positive integer factors of 84140 that divides 84140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 601, 1202, 2404, 3005, 4207, 6010, 8414, 12020, 16828, 21035, 42070

Step-4: Factors of 84159

List of positive integer factors of 84159 that divides 84140 without a remainder.

1, 3, 9, 27, 81, 1039, 3117, 9351, 28053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84140 and 84159. The biggest common factor number is the GCF number.
So the greatest common factor 84140 and 84159 is 1.

Also check out the Least Common Multiple of 84140 and 84159