What is the Greatest Common Factor of 48076 and 48093?

Greatest common factor (GCF) of 48076 and 48093 is 17.

GCF(48076,48093) = 17

We will now calculate the prime factors of 48076 and 48093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48076 and 48093.

How to find the GCF of 48076 and 48093?

We will first find the prime factorization of 48076 and 48093. After we will calculate the factors of 48076 and 48093 and find the biggest common factor number .

Step-1: Prime Factorization of 48076

Prime factors of 48076 are 2, 7, 17, 101. Prime factorization of 48076 in exponential form is:

48076 = 2² × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 48093

Prime factors of 48093 are 3, 17, 23, 41. Prime factorization of 48093 in exponential form is:

48093 = 3¹ × 17¹ × 23¹ × 41¹

Step-3: Factors of 48076

List of positive integer factors of 48076 that divides 48076 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 101, 119, 202, 238, 404, 476, 707, 1414, 1717, 2828, 3434, 6868, 12019, 24038

Step-4: Factors of 48093

List of positive integer factors of 48093 that divides 48076 without a remainder.

1, 3, 17, 23, 41, 51, 69, 123, 391, 697, 943, 1173, 2091, 2829, 16031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48076 and 48093. The biggest common factor number is the GCF number.
So the greatest common factor 48076 and 48093 is 17.

Also check out the Least Common Multiple of 48076 and 48093