What is the Greatest Common Factor of 84063 and 84077?

Greatest common factor (GCF) of 84063 and 84077 is 7.

GCF(84063,84077) = 7

We will now calculate the prime factors of 84063 and 84077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84063 and 84077.

How to find the GCF of 84063 and 84077?

We will first find the prime factorization of 84063 and 84077. After we will calculate the factors of 84063 and 84077 and find the biggest common factor number .

Step-1: Prime Factorization of 84063

Prime factors of 84063 are 3, 7, 4003. Prime factorization of 84063 in exponential form is:

84063 = 3¹ × 7¹ × 4003¹

Step-2: Prime Factorization of 84077

Prime factors of 84077 are 7, 12011. Prime factorization of 84077 in exponential form is:

84077 = 7¹ × 12011¹

Step-3: Factors of 84063

List of positive integer factors of 84063 that divides 84063 without a remainder.

1, 3, 7, 21, 4003, 12009, 28021

Step-4: Factors of 84077

List of positive integer factors of 84077 that divides 84063 without a remainder.

1, 7, 12011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84063 and 84077. The biggest common factor number is the GCF number.
So the greatest common factor 84063 and 84077 is 7.

Also check out the Least Common Multiple of 84063 and 84077