What is the Greatest Common Factor of 97229 and 97248?

Greatest common factor (GCF) of 97229 and 97248 is 1.

GCF(97229,97248) = 1

We will now calculate the prime factors of 97229 and 97248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97229 and 97248.

How to find the GCF of 97229 and 97248?

We will first find the prime factorization of 97229 and 97248. After we will calculate the factors of 97229 and 97248 and find the biggest common factor number .

Step-1: Prime Factorization of 97229

Prime factors of 97229 are 11, 8839. Prime factorization of 97229 in exponential form is:

97229 = 11¹ × 8839¹

Step-2: 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-3: Factors of 97229

List of positive integer factors of 97229 that divides 97229 without a remainder.

1, 11, 8839

Step-4: Factors of 97248

List of positive integer factors of 97248 that divides 97229 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97229 and 97248. The biggest common factor number is the GCF number.
So the greatest common factor 97229 and 97248 is 1.

Also check out the Least Common Multiple of 97229 and 97248