What is the Greatest Common Factor of 48272 and 48287?

Greatest common factor (GCF) of 48272 and 48287 is 1.

GCF(48272,48287) = 1

We will now calculate the prime factors of 48272 and 48287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48272 and 48287.

How to find the GCF of 48272 and 48287?

We will first find the prime factorization of 48272 and 48287. After we will calculate the factors of 48272 and 48287 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 48287

Prime factors of 48287 are 109, 443. Prime factorization of 48287 in exponential form is:

48287 = 109¹ × 443¹

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 48287

List of positive integer factors of 48287 that divides 48272 without a remainder.

1, 109, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48272 and 48287. The biggest common factor number is the GCF number.
So the greatest common factor 48272 and 48287 is 1.

Also check out the Least Common Multiple of 48272 and 48287