What is the Greatest Common Factor of 97248 and 97258?

Greatest common factor (GCF) of 97248 and 97258 is 2.

GCF(97248,97258) = 2

We will now calculate the prime factors of 97248 and 97258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97248 and 97258.

How to find the GCF of 97248 and 97258?

We will first find the prime factorization of 97248 and 97258. After we will calculate the factors of 97248 and 97258 and find the biggest common factor number .

Step-1: Prime Factorization of 97248

Prime factors of 97248 are 2, 3, 1013. Prime factorization of 97248 in exponential form is:

97248 = 2⁵ × 3¹ × 1013¹

Step-2: Prime Factorization of 97258

Prime factors of 97258 are 2, 7, 6947. Prime factorization of 97258 in exponential form is:

97258 = 2¹ × 7¹ × 6947¹

Step-3: Factors of 97248

List of positive integer factors of 97248 that divides 97248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1013, 2026, 3039, 4052, 6078, 8104, 12156, 16208, 24312, 32416, 48624

Step-4: Factors of 97258

List of positive integer factors of 97258 that divides 97248 without a remainder.

1, 2, 7, 14, 6947, 13894, 48629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97248 and 97258. The biggest common factor number is the GCF number.
So the greatest common factor 97248 and 97258 is 2.

Also check out the Least Common Multiple of 97248 and 97258