What is the Greatest Common Factor of 5289 and 5307?

Greatest common factor (GCF) of 5289 and 5307 is 3.

GCF(5289,5307) = 3

We will now calculate the prime factors of 5289 and 5307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5289 and 5307.

How to find the GCF of 5289 and 5307?

We will first find the prime factorization of 5289 and 5307. After we will calculate the factors of 5289 and 5307 and find the biggest common factor number .

Step-1: Prime Factorization of 5289

Prime factors of 5289 are 3, 41, 43. Prime factorization of 5289 in exponential form is:

5289 = 3¹ × 41¹ × 43¹

Step-2: Prime Factorization of 5307

Prime factors of 5307 are 3, 29, 61. Prime factorization of 5307 in exponential form is:

5307 = 3¹ × 29¹ × 61¹

Step-3: Factors of 5289

List of positive integer factors of 5289 that divides 5289 without a remainder.

1, 3, 41, 43, 123, 129, 1763

Step-4: Factors of 5307

List of positive integer factors of 5307 that divides 5289 without a remainder.

1, 3, 29, 61, 87, 183, 1769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5289 and 5307. The biggest common factor number is the GCF number.
So the greatest common factor 5289 and 5307 is 3.

Also check out the Least Common Multiple of 5289 and 5307