What is the Greatest Common Factor of 90252 and 90258?

Greatest common factor (GCF) of 90252 and 90258 is 6.

GCF(90252,90258) = 6

We will now calculate the prime factors of 90252 and 90258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90252 and 90258.

How to find the GCF of 90252 and 90258?

We will first find the prime factorization of 90252 and 90258. After we will calculate the factors of 90252 and 90258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90258

Prime factors of 90258 are 2, 3, 7, 307. Prime factorization of 90258 in exponential form is:

90258 = 2¹ × 3¹ × 7² × 307¹

Step-3: Factors of 90252

List of positive integer factors of 90252 that divides 90252 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

Step-4: Factors of 90258

List of positive integer factors of 90258 that divides 90252 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 307, 614, 921, 1842, 2149, 4298, 6447, 12894, 15043, 30086, 45129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90252 and 90258. The biggest common factor number is the GCF number.
So the greatest common factor 90252 and 90258 is 6.

Also check out the Least Common Multiple of 90252 and 90258