What is the Greatest Common Factor of 90231 and 90246?

Greatest common factor (GCF) of 90231 and 90246 is 3.

GCF(90231,90246) = 3

We will now calculate the prime factors of 90231 and 90246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90231 and 90246.

How to find the GCF of 90231 and 90246?

We will first find the prime factorization of 90231 and 90246. After we will calculate the factors of 90231 and 90246 and find the biggest common factor number .

Step-1: Prime Factorization of 90231

Prime factors of 90231 are 3, 19, 1583. Prime factorization of 90231 in exponential form is:

90231 = 3¹ × 19¹ × 1583¹

Step-2: Prime Factorization of 90246

Prime factors of 90246 are 2, 3, 13, 89. Prime factorization of 90246 in exponential form is:

90246 = 2¹ × 3¹ × 13² × 89¹

Step-3: Factors of 90231

List of positive integer factors of 90231 that divides 90231 without a remainder.

1, 3, 19, 57, 1583, 4749, 30077

Step-4: Factors of 90246

List of positive integer factors of 90246 that divides 90231 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 89, 169, 178, 267, 338, 507, 534, 1014, 1157, 2314, 3471, 6942, 15041, 30082, 45123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90231 and 90246. The biggest common factor number is the GCF number.
So the greatest common factor 90231 and 90246 is 3.

Also check out the Least Common Multiple of 90231 and 90246