What is the Greatest Common Factor of 47135 and 47146?

Greatest common factor (GCF) of 47135 and 47146 is 11.

GCF(47135,47146) = 11

We will now calculate the prime factors of 47135 and 47146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47135 and 47146.

How to find the GCF of 47135 and 47146?

We will first find the prime factorization of 47135 and 47146. After we will calculate the factors of 47135 and 47146 and find the biggest common factor number .

Step-1: Prime Factorization of 47135

Prime factors of 47135 are 5, 11, 857. Prime factorization of 47135 in exponential form is:

47135 = 5¹ × 11¹ × 857¹

Step-2: Prime Factorization of 47146

Prime factors of 47146 are 2, 11, 2143. Prime factorization of 47146 in exponential form is:

47146 = 2¹ × 11¹ × 2143¹

Step-3: Factors of 47135

List of positive integer factors of 47135 that divides 47135 without a remainder.

1, 5, 11, 55, 857, 4285, 9427

Step-4: Factors of 47146

List of positive integer factors of 47146 that divides 47135 without a remainder.

1, 2, 11, 22, 2143, 4286, 23573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47135 and 47146. The biggest common factor number is the GCF number.
So the greatest common factor 47135 and 47146 is 11.

Also check out the Least Common Multiple of 47135 and 47146