What is the Greatest Common Factor of 47245 and 47265?

Greatest common factor (GCF) of 47245 and 47265 is 5.

GCF(47245,47265) = 5

We will now calculate the prime factors of 47245 and 47265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47245 and 47265.

How to find the GCF of 47245 and 47265?

We will first find the prime factorization of 47245 and 47265. After we will calculate the factors of 47245 and 47265 and find the biggest common factor number .

Step-1: Prime Factorization of 47245

Prime factors of 47245 are 5, 11, 859. Prime factorization of 47245 in exponential form is:

47245 = 5¹ × 11¹ × 859¹

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 47245

List of positive integer factors of 47245 that divides 47245 without a remainder.

1, 5, 11, 55, 859, 4295, 9449

Step-4: Factors of 47265

List of positive integer factors of 47265 that divides 47245 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 47245 and 47265. The biggest common factor number is the GCF number.
So the greatest common factor 47245 and 47265 is 5.

Also check out the Least Common Multiple of 47245 and 47265