What is the Greatest Common Factor of 84028 and 84038?

Greatest common factor (GCF) of 84028 and 84038 is 2.

GCF(84028,84038) = 2

We will now calculate the prime factors of 84028 and 84038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84028 and 84038.

How to find the GCF of 84028 and 84038?

We will first find the prime factorization of 84028 and 84038. After we will calculate the factors of 84028 and 84038 and find the biggest common factor number .

Step-1: Prime Factorization of 84028

Prime factors of 84028 are 2, 7, 3001. Prime factorization of 84028 in exponential form is:

84028 = 2² × 7¹ × 3001¹

Step-2: Prime Factorization of 84038

Prime factors of 84038 are 2, 42019. Prime factorization of 84038 in exponential form is:

84038 = 2¹ × 42019¹

Step-3: Factors of 84028

List of positive integer factors of 84028 that divides 84028 without a remainder.

1, 2, 4, 7, 14, 28, 3001, 6002, 12004, 21007, 42014

Step-4: Factors of 84038

List of positive integer factors of 84038 that divides 84028 without a remainder.

1, 2, 42019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84028 and 84038. The biggest common factor number is the GCF number.
So the greatest common factor 84028 and 84038 is 2.

Also check out the Least Common Multiple of 84028 and 84038