What is the Greatest Common Factor of 48135 and 48151?

Greatest common factor (GCF) of 48135 and 48151 is 1.

GCF(48135,48151) = 1

We will now calculate the prime factors of 48135 and 48151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48135 and 48151.

How to find the GCF of 48135 and 48151?

We will first find the prime factorization of 48135 and 48151. After we will calculate the factors of 48135 and 48151 and find the biggest common factor number .

Step-1: Prime Factorization of 48135

Prime factors of 48135 are 3, 5, 3209. Prime factorization of 48135 in exponential form is:

48135 = 3¹ × 5¹ × 3209¹

Step-2: Prime Factorization of 48151

Prime factors of 48151 are 179, 269. Prime factorization of 48151 in exponential form is:

48151 = 179¹ × 269¹

Step-3: Factors of 48135

List of positive integer factors of 48135 that divides 48135 without a remainder.

1, 3, 5, 15, 3209, 9627, 16045

Step-4: Factors of 48151

List of positive integer factors of 48151 that divides 48135 without a remainder.

1, 179, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48135 and 48151. The biggest common factor number is the GCF number.
So the greatest common factor 48135 and 48151 is 1.

Also check out the Least Common Multiple of 48135 and 48151