What is the Greatest Common Factor of 48272 and 48291?

Greatest common factor (GCF) of 48272 and 48291 is 1.

GCF(48272,48291) = 1

We will now calculate the prime factors of 48272 and 48291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48272 and 48291.

How to find the GCF of 48272 and 48291?

We will first find the prime factorization of 48272 and 48291. After we will calculate the factors of 48272 and 48291 and find the biggest common factor number .

Step-1: Prime Factorization of 48272

Prime factors of 48272 are 2, 7, 431. Prime factorization of 48272 in exponential form is:

48272 = 2⁴ × 7¹ × 431¹

Step-2: Prime Factorization of 48291

Prime factors of 48291 are 3, 16097. Prime factorization of 48291 in exponential form is:

48291 = 3¹ × 16097¹

Step-3: Factors of 48272

List of positive integer factors of 48272 that divides 48272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 431, 862, 1724, 3017, 3448, 6034, 6896, 12068, 24136

Step-4: Factors of 48291

List of positive integer factors of 48291 that divides 48272 without a remainder.

1, 3, 16097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48272 and 48291. The biggest common factor number is the GCF number.
So the greatest common factor 48272 and 48291 is 1.

Also check out the Least Common Multiple of 48272 and 48291