What is the Greatest Common Factor of 47435 and 47455?

Greatest common factor (GCF) of 47435 and 47455 is 5.

GCF(47435,47455) = 5

We will now calculate the prime factors of 47435 and 47455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47435 and 47455.

How to find the GCF of 47435 and 47455?

We will first find the prime factorization of 47435 and 47455. After we will calculate the factors of 47435 and 47455 and find the biggest common factor number .

Step-1: Prime Factorization of 47435

Prime factors of 47435 are 5, 53, 179. Prime factorization of 47435 in exponential form is:

47435 = 5¹ × 53¹ × 179¹

Step-2: Prime Factorization of 47455

Prime factors of 47455 are 5, 9491. Prime factorization of 47455 in exponential form is:

47455 = 5¹ × 9491¹

Step-3: Factors of 47435

List of positive integer factors of 47435 that divides 47435 without a remainder.

1, 5, 53, 179, 265, 895, 9487

Step-4: Factors of 47455

List of positive integer factors of 47455 that divides 47435 without a remainder.

1, 5, 9491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47435 and 47455. The biggest common factor number is the GCF number.
So the greatest common factor 47435 and 47455 is 5.

Also check out the Least Common Multiple of 47435 and 47455