What is the Greatest Common Factor of 48069 and 48085?

Greatest common factor (GCF) of 48069 and 48085 is 1.

GCF(48069,48085) = 1

We will now calculate the prime factors of 48069 and 48085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48069 and 48085.

How to find the GCF of 48069 and 48085?

We will first find the prime factorization of 48069 and 48085. After we will calculate the factors of 48069 and 48085 and find the biggest common factor number .

Step-1: Prime Factorization of 48069

Prime factors of 48069 are 3, 7, 109. Prime factorization of 48069 in exponential form is:

48069 = 3² × 7² × 109¹

Step-2: Prime Factorization of 48085

Prime factors of 48085 are 5, 59, 163. Prime factorization of 48085 in exponential form is:

48085 = 5¹ × 59¹ × 163¹

Step-3: Factors of 48069

List of positive integer factors of 48069 that divides 48069 without a remainder.

1, 3, 7, 9, 21, 49, 63, 109, 147, 327, 441, 763, 981, 2289, 5341, 6867, 16023

Step-4: Factors of 48085

List of positive integer factors of 48085 that divides 48069 without a remainder.

1, 5, 59, 163, 295, 815, 9617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48069 and 48085. The biggest common factor number is the GCF number.
So the greatest common factor 48069 and 48085 is 1.

Also check out the Least Common Multiple of 48069 and 48085