What is the Greatest Common Factor of 97056 and 97069?

Greatest common factor (GCF) of 97056 and 97069 is 1.

GCF(97056,97069) = 1

We will now calculate the prime factors of 97056 and 97069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97056 and 97069.

How to find the GCF of 97056 and 97069?

We will first find the prime factorization of 97056 and 97069. After we will calculate the factors of 97056 and 97069 and find the biggest common factor number .

Step-1: Prime Factorization of 97056

Prime factors of 97056 are 2, 3, 337. Prime factorization of 97056 in exponential form is:

97056 = 2⁵ × 3² × 337¹

Step-2: Prime Factorization of 97069

Prime factors of 97069 are 7, 283. Prime factorization of 97069 in exponential form is:

97069 = 7³ × 283¹

Step-3: Factors of 97056

List of positive integer factors of 97056 that divides 97056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 5392, 6066, 8088, 10784, 12132, 16176, 24264, 32352, 48528

Step-4: Factors of 97069

List of positive integer factors of 97069 that divides 97056 without a remainder.

1, 7, 49, 283, 343, 1981, 13867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97056 and 97069. The biggest common factor number is the GCF number.
So the greatest common factor 97056 and 97069 is 1.

Also check out the Least Common Multiple of 97056 and 97069