What is the Greatest Common Factor of 90070 and 90084?

Greatest common factor (GCF) of 90070 and 90084 is 2.

GCF(90070,90084) = 2

We will now calculate the prime factors of 90070 and 90084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90070 and 90084.

How to find the GCF of 90070 and 90084?

We will first find the prime factorization of 90070 and 90084. After we will calculate the factors of 90070 and 90084 and find the biggest common factor number .

Step-1: Prime Factorization of 90070

Prime factors of 90070 are 2, 5, 9007. Prime factorization of 90070 in exponential form is:

90070 = 2¹ × 5¹ × 9007¹

Step-2: Prime Factorization of 90084

Prime factors of 90084 are 2, 3, 7507. Prime factorization of 90084 in exponential form is:

90084 = 2² × 3¹ × 7507¹

Step-3: Factors of 90070

List of positive integer factors of 90070 that divides 90070 without a remainder.

1, 2, 5, 10, 9007, 18014, 45035

Step-4: Factors of 90084

List of positive integer factors of 90084 that divides 90070 without a remainder.

1, 2, 3, 4, 6, 12, 7507, 15014, 22521, 30028, 45042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90070 and 90084. The biggest common factor number is the GCF number.
So the greatest common factor 90070 and 90084 is 2.

Also check out the Least Common Multiple of 90070 and 90084