What is the Greatest Common Factor of 48101 and 48112?

Greatest common factor (GCF) of 48101 and 48112 is 1.

GCF(48101,48112) = 1

We will now calculate the prime factors of 48101 and 48112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48101 and 48112.

How to find the GCF of 48101 and 48112?

We will first find the prime factorization of 48101 and 48112. After we will calculate the factors of 48101 and 48112 and find the biggest common factor number .

Step-1: Prime Factorization of 48101

Prime factors of 48101 are 103, 467. Prime factorization of 48101 in exponential form is:

48101 = 103¹ × 467¹

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 48101

List of positive integer factors of 48101 that divides 48101 without a remainder.

1, 103, 467

Step-4: Factors of 48112

List of positive integer factors of 48112 that divides 48101 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 48101 and 48112. The biggest common factor number is the GCF number.
So the greatest common factor 48101 and 48112 is 1.

Also check out the Least Common Multiple of 48101 and 48112