What is the Greatest Common Factor of 48837 and 48853?

Greatest common factor (GCF) of 48837 and 48853 is 1.

GCF(48837,48853) = 1

We will now calculate the prime factors of 48837 and 48853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48837 and 48853.

How to find the GCF of 48837 and 48853?

We will first find the prime factorization of 48837 and 48853. After we will calculate the factors of 48837 and 48853 and find the biggest common factor number .

Step-1: Prime Factorization of 48837

Prime factors of 48837 are 3, 73, 223. Prime factorization of 48837 in exponential form is:

48837 = 3¹ × 73¹ × 223¹

Step-2: Prime Factorization of 48853

Prime factors of 48853 are 7, 997. Prime factorization of 48853 in exponential form is:

48853 = 7² × 997¹

Step-3: Factors of 48837

List of positive integer factors of 48837 that divides 48837 without a remainder.

1, 3, 73, 219, 223, 669, 16279

Step-4: Factors of 48853

List of positive integer factors of 48853 that divides 48837 without a remainder.

1, 7, 49, 997, 6979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48837 and 48853. The biggest common factor number is the GCF number.
So the greatest common factor 48837 and 48853 is 1.

Also check out the Least Common Multiple of 48837 and 48853