What is the Greatest Common Factor of 46053 and 46071?

Greatest common factor (GCF) of 46053 and 46071 is 9.

GCF(46053,46071) = 9

We will now calculate the prime factors of 46053 and 46071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46053 and 46071.

How to find the GCF of 46053 and 46071?

We will first find the prime factorization of 46053 and 46071. After we will calculate the factors of 46053 and 46071 and find the biggest common factor number .

Step-1: Prime Factorization of 46053

Prime factors of 46053 are 3, 7, 17, 43. Prime factorization of 46053 in exponential form is:

46053 = 3² × 7¹ × 17¹ × 43¹

Step-2: Prime Factorization of 46071

Prime factors of 46071 are 3, 5119. Prime factorization of 46071 in exponential form is:

46071 = 3² × 5119¹

Step-3: Factors of 46053

List of positive integer factors of 46053 that divides 46053 without a remainder.

1, 3, 7, 9, 17, 21, 43, 51, 63, 119, 129, 153, 301, 357, 387, 731, 903, 1071, 2193, 2709, 5117, 6579, 15351

Step-4: Factors of 46071

List of positive integer factors of 46071 that divides 46053 without a remainder.

1, 3, 9, 5119, 15357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46053 and 46071. The biggest common factor number is the GCF number.
So the greatest common factor 46053 and 46071 is 9.

Also check out the Least Common Multiple of 46053 and 46071