What is the Greatest Common Factor of 47525 and 47531?

Greatest common factor (GCF) of 47525 and 47531 is 1.

GCF(47525,47531) = 1

We will now calculate the prime factors of 47525 and 47531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47525 and 47531.

How to find the GCF of 47525 and 47531?

We will first find the prime factorization of 47525 and 47531. After we will calculate the factors of 47525 and 47531 and find the biggest common factor number .

Step-1: Prime Factorization of 47525

Prime factors of 47525 are 5, 1901. Prime factorization of 47525 in exponential form is:

47525 = 5² × 1901¹

Step-2: Prime Factorization of 47531

Prime factors of 47531 are 11, 29, 149. Prime factorization of 47531 in exponential form is:

47531 = 11¹ × 29¹ × 149¹

Step-3: Factors of 47525

List of positive integer factors of 47525 that divides 47525 without a remainder.

1, 5, 25, 1901, 9505

Step-4: Factors of 47531

List of positive integer factors of 47531 that divides 47525 without a remainder.

1, 11, 29, 149, 319, 1639, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47525 and 47531. The biggest common factor number is the GCF number.
So the greatest common factor 47525 and 47531 is 1.

Also check out the Least Common Multiple of 47525 and 47531