What is the Greatest Common Factor of 48052 and 48063?

Greatest common factor (GCF) of 48052 and 48063 is 1.

GCF(48052,48063) = 1

We will now calculate the prime factors of 48052 and 48063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48052 and 48063.

How to find the GCF of 48052 and 48063?

We will first find the prime factorization of 48052 and 48063. After we will calculate the factors of 48052 and 48063 and find the biggest common factor number .

Step-1: Prime Factorization of 48052

Prime factors of 48052 are 2, 41, 293. Prime factorization of 48052 in exponential form is:

48052 = 2² × 41¹ × 293¹

Step-2: Prime Factorization of 48063

Prime factors of 48063 are 3, 37, 433. Prime factorization of 48063 in exponential form is:

48063 = 3¹ × 37¹ × 433¹

Step-3: Factors of 48052

List of positive integer factors of 48052 that divides 48052 without a remainder.

1, 2, 4, 41, 82, 164, 293, 586, 1172, 12013, 24026

Step-4: Factors of 48063

List of positive integer factors of 48063 that divides 48052 without a remainder.

1, 3, 37, 111, 433, 1299, 16021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48052 and 48063. The biggest common factor number is the GCF number.
So the greatest common factor 48052 and 48063 is 1.

Also check out the Least Common Multiple of 48052 and 48063