What is the Greatest Common Factor of 48698 and 48703?

Greatest common factor (GCF) of 48698 and 48703 is 1.

GCF(48698,48703) = 1

We will now calculate the prime factors of 48698 and 48703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48698 and 48703.

How to find the GCF of 48698 and 48703?

We will first find the prime factorization of 48698 and 48703. After we will calculate the factors of 48698 and 48703 and find the biggest common factor number .

Step-1: Prime Factorization of 48698

Prime factors of 48698 are 2, 13, 1873. Prime factorization of 48698 in exponential form is:

48698 = 2¹ × 13¹ × 1873¹

Step-2: Prime Factorization of 48703

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

48703 = 113¹ × 431¹

Step-3: Factors of 48698

List of positive integer factors of 48698 that divides 48698 without a remainder.

1, 2, 13, 26, 1873, 3746, 24349

Step-4: Factors of 48703

List of positive integer factors of 48703 that divides 48698 without a remainder.

1, 113, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48698 and 48703. The biggest common factor number is the GCF number.
So the greatest common factor 48698 and 48703 is 1.

Also check out the Least Common Multiple of 48698 and 48703