What is the Greatest Common Factor of 47405 and 47425?

Greatest common factor (GCF) of 47405 and 47425 is 5.

GCF(47405,47425) = 5

We will now calculate the prime factors of 47405 and 47425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47405 and 47425.

How to find the GCF of 47405 and 47425?

We will first find the prime factorization of 47405 and 47425. After we will calculate the factors of 47405 and 47425 and find the biggest common factor number .

Step-1: Prime Factorization of 47405

Prime factors of 47405 are 5, 19, 499. Prime factorization of 47405 in exponential form is:

47405 = 5¹ × 19¹ × 499¹

Step-2: Prime Factorization of 47425

Prime factors of 47425 are 5, 7, 271. Prime factorization of 47425 in exponential form is:

47425 = 5² × 7¹ × 271¹

Step-3: Factors of 47405

List of positive integer factors of 47405 that divides 47405 without a remainder.

1, 5, 19, 95, 499, 2495, 9481

Step-4: Factors of 47425

List of positive integer factors of 47425 that divides 47405 without a remainder.

1, 5, 7, 25, 35, 175, 271, 1355, 1897, 6775, 9485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47405 and 47425. The biggest common factor number is the GCF number.
So the greatest common factor 47405 and 47425 is 5.

Also check out the Least Common Multiple of 47405 and 47425