What is the Greatest Common Factor of 84076 and 84090?

Greatest common factor (GCF) of 84076 and 84090 is 2.

GCF(84076,84090) = 2

We will now calculate the prime factors of 84076 and 84090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84076 and 84090.

How to find the GCF of 84076 and 84090?

We will first find the prime factorization of 84076 and 84090. After we will calculate the factors of 84076 and 84090 and find the biggest common factor number .

Step-1: Prime Factorization of 84076

Prime factors of 84076 are 2, 21019. Prime factorization of 84076 in exponential form is:

84076 = 2² × 21019¹

Step-2: Prime Factorization of 84090

Prime factors of 84090 are 2, 3, 5, 2803. Prime factorization of 84090 in exponential form is:

84090 = 2¹ × 3¹ × 5¹ × 2803¹

Step-3: Factors of 84076

List of positive integer factors of 84076 that divides 84076 without a remainder.

1, 2, 4, 21019, 42038

Step-4: Factors of 84090

List of positive integer factors of 84090 that divides 84076 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2803, 5606, 8409, 14015, 16818, 28030, 42045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84076 and 84090. The biggest common factor number is the GCF number.
So the greatest common factor 84076 and 84090 is 2.

Also check out the Least Common Multiple of 84076 and 84090