What is the Greatest Common Factor of 47435 and 47442?

Greatest common factor (GCF) of 47435 and 47442 is 1.

GCF(47435,47442) = 1

We will now calculate the prime factors of 47435 and 47442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47435 and 47442.

How to find the GCF of 47435 and 47442?

We will first find the prime factorization of 47435 and 47442. After we will calculate the factors of 47435 and 47442 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 47442

Prime factors of 47442 are 2, 3, 7907. Prime factorization of 47442 in exponential form is:

47442 = 2¹ × 3¹ × 7907¹

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 47442

List of positive integer factors of 47442 that divides 47435 without a remainder.

1, 2, 3, 6, 7907, 15814, 23721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47435 and 47442. The biggest common factor number is the GCF number.
So the greatest common factor 47435 and 47442 is 1.

Also check out the Least Common Multiple of 47435 and 47442