What is the Greatest Common Factor of 48703 and 48714?

Greatest common factor (GCF) of 48703 and 48714 is 1.

GCF(48703,48714) = 1

We will now calculate the prime factors of 48703 and 48714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48703 and 48714.

How to find the GCF of 48703 and 48714?

We will first find the prime factorization of 48703 and 48714. After we will calculate the factors of 48703 and 48714 and find the biggest common factor number .

Step-1: Prime Factorization of 48703

Prime factors of 48703 are 113, 431. Prime factorization of 48703 in exponential form is:

48703 = 113¹ × 431¹

Step-2: Prime Factorization of 48714

Prime factors of 48714 are 2, 3, 23, 353. Prime factorization of 48714 in exponential form is:

48714 = 2¹ × 3¹ × 23¹ × 353¹

Step-3: Factors of 48703

List of positive integer factors of 48703 that divides 48703 without a remainder.

1, 113, 431

Step-4: Factors of 48714

List of positive integer factors of 48714 that divides 48703 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 353, 706, 1059, 2118, 8119, 16238, 24357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48703 and 48714. The biggest common factor number is the GCF number.
So the greatest common factor 48703 and 48714 is 1.

Also check out the Least Common Multiple of 48703 and 48714