What is the Greatest Common Factor of 48112 and 48127?

Greatest common factor (GCF) of 48112 and 48127 is 1.

GCF(48112,48127) = 1

We will now calculate the prime factors of 48112 and 48127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48112 and 48127.

How to find the GCF of 48112 and 48127?

We will first find the prime factorization of 48112 and 48127. After we will calculate the factors of 48112 and 48127 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48127

Prime factors of 48127 are 17, 19, 149. Prime factorization of 48127 in exponential form is:

48127 = 17¹ × 19¹ × 149¹

Step-3: Factors of 48112

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

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

Step-4: Factors of 48127

List of positive integer factors of 48127 that divides 48112 without a remainder.

1, 17, 19, 149, 323, 2533, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48112 and 48127. The biggest common factor number is the GCF number.
So the greatest common factor 48112 and 48127 is 1.

Also check out the Least Common Multiple of 48112 and 48127