What is the Greatest Common Factor of 47257 and 47265?

Greatest common factor (GCF) of 47257 and 47265 is 1.

GCF(47257,47265) = 1

We will now calculate the prime factors of 47257 and 47265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47257 and 47265.

How to find the GCF of 47257 and 47265?

We will first find the prime factorization of 47257 and 47265. After we will calculate the factors of 47257 and 47265 and find the biggest common factor number .

Step-1: Prime Factorization of 47257

Prime factors of 47257 are 7, 43, 157. Prime factorization of 47257 in exponential form is:

47257 = 7¹ × 43¹ × 157¹

Step-2: Prime Factorization of 47265

Prime factors of 47265 are 3, 5, 23, 137. Prime factorization of 47265 in exponential form is:

47265 = 3¹ × 5¹ × 23¹ × 137¹

Step-3: Factors of 47257

List of positive integer factors of 47257 that divides 47257 without a remainder.

1, 7, 43, 157, 301, 1099, 6751

Step-4: Factors of 47265

List of positive integer factors of 47265 that divides 47257 without a remainder.

1, 3, 5, 15, 23, 69, 115, 137, 345, 411, 685, 2055, 3151, 9453, 15755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47257 and 47265. The biggest common factor number is the GCF number.
So the greatest common factor 47257 and 47265 is 1.

Also check out the Least Common Multiple of 47257 and 47265