What is the Greatest Common Factor of 48059 and 48076?

Greatest common factor (GCF) of 48059 and 48076 is 17.

GCF(48059,48076) = 17

We will now calculate the prime factors of 48059 and 48076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48059 and 48076.

How to find the GCF of 48059 and 48076?

We will first find the prime factorization of 48059 and 48076. After we will calculate the factors of 48059 and 48076 and find the biggest common factor number .

Step-1: Prime Factorization of 48059

Prime factors of 48059 are 11, 17, 257. Prime factorization of 48059 in exponential form is:

48059 = 11¹ × 17¹ × 257¹

Step-2: 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-3: Factors of 48059

List of positive integer factors of 48059 that divides 48059 without a remainder.

1, 11, 17, 187, 257, 2827, 4369

Step-4: Factors of 48076

List of positive integer factors of 48076 that divides 48059 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48059 and 48076. The biggest common factor number is the GCF number.
So the greatest common factor 48059 and 48076 is 17.

Also check out the Least Common Multiple of 48059 and 48076