What is the Greatest Common Factor of 84021 and 84035?

Greatest common factor (GCF) of 84021 and 84035 is 7.

GCF(84021,84035) = 7

We will now calculate the prime factors of 84021 and 84035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84021 and 84035.

How to find the GCF of 84021 and 84035?

We will first find the prime factorization of 84021 and 84035. After we will calculate the factors of 84021 and 84035 and find the biggest common factor number .

Step-1: Prime Factorization of 84021

Prime factors of 84021 are 3, 7, 4001. Prime factorization of 84021 in exponential form is:

84021 = 3¹ × 7¹ × 4001¹

Step-2: Prime Factorization of 84035

Prime factors of 84035 are 5, 7. Prime factorization of 84035 in exponential form is:

84035 = 5¹ × 7⁵

Step-3: Factors of 84021

List of positive integer factors of 84021 that divides 84021 without a remainder.

1, 3, 7, 21, 4001, 12003, 28007

Step-4: Factors of 84035

List of positive integer factors of 84035 that divides 84021 without a remainder.

1, 5, 7, 35, 49, 245, 343, 1715, 2401, 12005, 16807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84021 and 84035. The biggest common factor number is the GCF number.
So the greatest common factor 84021 and 84035 is 7.

Also check out the Least Common Multiple of 84021 and 84035