What is the Greatest Common Factor of 90251 and 90258?

Greatest common factor (GCF) of 90251 and 90258 is 7.

GCF(90251,90258) = 7

We will now calculate the prime factors of 90251 and 90258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90251 and 90258.

How to find the GCF of 90251 and 90258?

We will first find the prime factorization of 90251 and 90258. After we will calculate the factors of 90251 and 90258 and find the biggest common factor number .

Step-1: Prime Factorization of 90251

Prime factors of 90251 are 7, 12893. Prime factorization of 90251 in exponential form is:

90251 = 7¹ × 12893¹

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 90251

List of positive integer factors of 90251 that divides 90251 without a remainder.

1, 7, 12893

Step-4: Factors of 90258

List of positive integer factors of 90258 that divides 90251 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 90251 and 90258. The biggest common factor number is the GCF number.
So the greatest common factor 90251 and 90258 is 7.

Also check out the Least Common Multiple of 90251 and 90258