What is the Greatest Common Factor of 48293 and 48307?

Greatest common factor (GCF) of 48293 and 48307 is 7.

GCF(48293,48307) = 7

We will now calculate the prime factors of 48293 and 48307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48293 and 48307.

How to find the GCF of 48293 and 48307?

We will first find the prime factorization of 48293 and 48307. After we will calculate the factors of 48293 and 48307 and find the biggest common factor number .

Step-1: Prime Factorization of 48293

Prime factors of 48293 are 7, 6899. Prime factorization of 48293 in exponential form is:

48293 = 7¹ × 6899¹

Step-2: Prime Factorization of 48307

Prime factors of 48307 are 7, 67, 103. Prime factorization of 48307 in exponential form is:

48307 = 7¹ × 67¹ × 103¹

Step-3: Factors of 48293

List of positive integer factors of 48293 that divides 48293 without a remainder.

1, 7, 6899

Step-4: Factors of 48307

List of positive integer factors of 48307 that divides 48293 without a remainder.

1, 7, 67, 103, 469, 721, 6901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48293 and 48307. The biggest common factor number is the GCF number.
So the greatest common factor 48293 and 48307 is 7.

Also check out the Least Common Multiple of 48293 and 48307