What is the Greatest Common Factor of 75231 and 75247?

Greatest common factor (GCF) of 75231 and 75247 is 1.

GCF(75231,75247) = 1

We will now calculate the prime factors of 75231 and 75247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75231 and 75247.

How to find the GCF of 75231 and 75247?

We will first find the prime factorization of 75231 and 75247. After we will calculate the factors of 75231 and 75247 and find the biggest common factor number .

Step-1: Prime Factorization of 75231

Prime factors of 75231 are 3, 13, 643. Prime factorization of 75231 in exponential form is:

75231 = 3² × 13¹ × 643¹

Step-2: Prime Factorization of 75247

Prime factors of 75247 are 47, 1601. Prime factorization of 75247 in exponential form is:

75247 = 47¹ × 1601¹

Step-3: Factors of 75231

List of positive integer factors of 75231 that divides 75231 without a remainder.

1, 3, 9, 13, 39, 117, 643, 1929, 5787, 8359, 25077

Step-4: Factors of 75247

List of positive integer factors of 75247 that divides 75231 without a remainder.

1, 47, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75231 and 75247. The biggest common factor number is the GCF number.
So the greatest common factor 75231 and 75247 is 1.

Also check out the Least Common Multiple of 75231 and 75247