What is the Greatest Common Factor of 48693 and 48704?

Greatest common factor (GCF) of 48693 and 48704 is 1.

GCF(48693,48704) = 1

We will now calculate the prime factors of 48693 and 48704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48693 and 48704.

How to find the GCF of 48693 and 48704?

We will first find the prime factorization of 48693 and 48704. After we will calculate the factors of 48693 and 48704 and find the biggest common factor number .

Step-1: Prime Factorization of 48693

Prime factors of 48693 are 3, 16231. Prime factorization of 48693 in exponential form is:

48693 = 3¹ × 16231¹

Step-2: Prime Factorization of 48704

Prime factors of 48704 are 2, 761. Prime factorization of 48704 in exponential form is:

48704 = 2⁶ × 761¹

Step-3: Factors of 48693

List of positive integer factors of 48693 that divides 48693 without a remainder.

1, 3, 16231

Step-4: Factors of 48704

List of positive integer factors of 48704 that divides 48693 without a remainder.

1, 2, 4, 8, 16, 32, 64, 761, 1522, 3044, 6088, 12176, 24352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48693 and 48704. The biggest common factor number is the GCF number.
So the greatest common factor 48693 and 48704 is 1.

Also check out the Least Common Multiple of 48693 and 48704