What is the Greatest Common Factor of 48095 and 48112?

Greatest common factor (GCF) of 48095 and 48112 is 1.

GCF(48095,48112) = 1

We will now calculate the prime factors of 48095 and 48112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48095 and 48112.

How to find the GCF of 48095 and 48112?

We will first find the prime factorization of 48095 and 48112. After we will calculate the factors of 48095 and 48112 and find the biggest common factor number .

Step-1: Prime Factorization of 48095

Prime factors of 48095 are 5, 9619. Prime factorization of 48095 in exponential form is:

48095 = 5¹ × 9619¹

Step-2: Prime Factorization of 48112

Prime factors of 48112 are 2, 31, 97. Prime factorization of 48112 in exponential form is:

48112 = 2⁴ × 31¹ × 97¹

Step-3: Factors of 48095

List of positive integer factors of 48095 that divides 48095 without a remainder.

1, 5, 9619

Step-4: Factors of 48112

List of positive integer factors of 48112 that divides 48095 without a remainder.

1, 2, 4, 8, 16, 31, 62, 97, 124, 194, 248, 388, 496, 776, 1552, 3007, 6014, 12028, 24056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48095 and 48112. The biggest common factor number is the GCF number.
So the greatest common factor 48095 and 48112 is 1.

Also check out the Least Common Multiple of 48095 and 48112