What is the Greatest Common Factor of 47415 and 47435?

Greatest common factor (GCF) of 47415 and 47435 is 5.

GCF(47415,47435) = 5

We will now calculate the prime factors of 47415 and 47435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47415 and 47435.

How to find the GCF of 47415 and 47435?

We will first find the prime factorization of 47415 and 47435. After we will calculate the factors of 47415 and 47435 and find the biggest common factor number .

Step-1: Prime Factorization of 47415

Prime factors of 47415 are 3, 5, 29, 109. Prime factorization of 47415 in exponential form is:

47415 = 3¹ × 5¹ × 29¹ × 109¹

Step-2: 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-3: Factors of 47415

List of positive integer factors of 47415 that divides 47415 without a remainder.

1, 3, 5, 15, 29, 87, 109, 145, 327, 435, 545, 1635, 3161, 9483, 15805

Step-4: Factors of 47435

List of positive integer factors of 47435 that divides 47415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47415 and 47435. The biggest common factor number is the GCF number.
So the greatest common factor 47415 and 47435 is 5.

Also check out the Least Common Multiple of 47415 and 47435