What is the Greatest Common Factor of 48693 and 48700?

Greatest common factor (GCF) of 48693 and 48700 is 1.

GCF(48693,48700) = 1

We will now calculate the prime factors of 48693 and 48700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48693 and 48700.

How to find the GCF of 48693 and 48700?

We will first find the prime factorization of 48693 and 48700. After we will calculate the factors of 48693 and 48700 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 48700

Prime factors of 48700 are 2, 5, 487. Prime factorization of 48700 in exponential form is:

48700 = 2² × 5² × 487¹

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 48700

List of positive integer factors of 48700 that divides 48693 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 487, 974, 1948, 2435, 4870, 9740, 12175, 24350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48693 and 48700. The biggest common factor number is the GCF number.
So the greatest common factor 48693 and 48700 is 1.

Also check out the Least Common Multiple of 48693 and 48700