What is the Greatest Common Factor of 48363 and 48377?

Greatest common factor (GCF) of 48363 and 48377 is 7.

GCF(48363,48377) = 7

We will now calculate the prime factors of 48363 and 48377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48363 and 48377.

How to find the GCF of 48363 and 48377?

We will first find the prime factorization of 48363 and 48377. After we will calculate the factors of 48363 and 48377 and find the biggest common factor number .

Step-1: Prime Factorization of 48363

Prime factors of 48363 are 3, 7, 47. Prime factorization of 48363 in exponential form is:

48363 = 3¹ × 7³ × 47¹

Step-2: Prime Factorization of 48377

Prime factors of 48377 are 7, 6911. Prime factorization of 48377 in exponential form is:

48377 = 7¹ × 6911¹

Step-3: Factors of 48363

List of positive integer factors of 48363 that divides 48363 without a remainder.

1, 3, 7, 21, 47, 49, 141, 147, 329, 343, 987, 1029, 2303, 6909, 16121

Step-4: Factors of 48377

List of positive integer factors of 48377 that divides 48363 without a remainder.

1, 7, 6911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48363 and 48377. The biggest common factor number is the GCF number.
So the greatest common factor 48363 and 48377 is 7.

Also check out the Least Common Multiple of 48363 and 48377