What is the Greatest Common Factor of 84134 and 84147?

Greatest common factor (GCF) of 84134 and 84147 is 1.

GCF(84134,84147) = 1

We will now calculate the prime factors of 84134 and 84147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84134 and 84147.

How to find the GCF of 84134 and 84147?

We will first find the prime factorization of 84134 and 84147. After we will calculate the factors of 84134 and 84147 and find the biggest common factor number .

Step-1: Prime Factorization of 84134

Prime factors of 84134 are 2, 23, 31, 59. Prime factorization of 84134 in exponential form is:

84134 = 2¹ × 23¹ × 31¹ × 59¹

Step-2: Prime Factorization of 84147

Prime factors of 84147 are 3, 7, 4007. Prime factorization of 84147 in exponential form is:

84147 = 3¹ × 7¹ × 4007¹

Step-3: Factors of 84134

List of positive integer factors of 84134 that divides 84134 without a remainder.

1, 2, 23, 31, 46, 59, 62, 118, 713, 1357, 1426, 1829, 2714, 3658, 42067

Step-4: Factors of 84147

List of positive integer factors of 84147 that divides 84134 without a remainder.

1, 3, 7, 21, 4007, 12021, 28049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84134 and 84147. The biggest common factor number is the GCF number.
So the greatest common factor 84134 and 84147 is 1.

Also check out the Least Common Multiple of 84134 and 84147