What is the Greatest Common Factor of 97248 and 97262?

Greatest common factor (GCF) of 97248 and 97262 is 2.

GCF(97248,97262) = 2

We will now calculate the prime factors of 97248 and 97262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97248 and 97262.

How to find the GCF of 97248 and 97262?

We will first find the prime factorization of 97248 and 97262. After we will calculate the factors of 97248 and 97262 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 97262

Prime factors of 97262 are 2, 11, 4421. Prime factorization of 97262 in exponential form is:

97262 = 2¹ × 11¹ × 4421¹

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 97262

List of positive integer factors of 97262 that divides 97248 without a remainder.

1, 2, 11, 22, 4421, 8842, 48631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97248 and 97262. The biggest common factor number is the GCF number.
So the greatest common factor 97248 and 97262 is 2.

Also check out the Least Common Multiple of 97248 and 97262