What is the Greatest Common Factor of 90234 and 90252?

Greatest common factor (GCF) of 90234 and 90252 is 18.

GCF(90234,90252) = 18

We will now calculate the prime factors of 90234 and 90252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90234 and 90252.

How to find the GCF of 90234 and 90252?

We will first find the prime factorization of 90234 and 90252. After we will calculate the factors of 90234 and 90252 and find the biggest common factor number .

Step-1: Prime Factorization of 90234

Prime factors of 90234 are 2, 3, 557. Prime factorization of 90234 in exponential form is:

90234 = 2¹ × 3⁴ × 557¹

Step-2: Prime Factorization of 90252

Prime factors of 90252 are 2, 3, 23, 109. Prime factorization of 90252 in exponential form is:

90252 = 2² × 3² × 23¹ × 109¹

Step-3: Factors of 90234

List of positive integer factors of 90234 that divides 90234 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 557, 1114, 1671, 3342, 5013, 10026, 15039, 30078, 45117

Step-4: Factors of 90252

List of positive integer factors of 90252 that divides 90234 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 109, 138, 207, 218, 276, 327, 414, 436, 654, 828, 981, 1308, 1962, 2507, 3924, 5014, 7521, 10028, 15042, 22563, 30084, 45126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90234 and 90252. The biggest common factor number is the GCF number.
So the greatest common factor 90234 and 90252 is 18.

Also check out the Least Common Multiple of 90234 and 90252