What is the Greatest Common Factor of 46053 and 46062?

Greatest common factor (GCF) of 46053 and 46062 is 9.

GCF(46053,46062) = 9

We will now calculate the prime factors of 46053 and 46062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46053 and 46062.

How to find the GCF of 46053 and 46062?

We will first find the prime factorization of 46053 and 46062. After we will calculate the factors of 46053 and 46062 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 46062

Prime factors of 46062 are 2, 3, 853. Prime factorization of 46062 in exponential form is:

46062 = 2¹ × 3³ × 853¹

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 46062

List of positive integer factors of 46062 that divides 46053 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 853, 1706, 2559, 5118, 7677, 15354, 23031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46053 and 46062. The biggest common factor number is the GCF number.
So the greatest common factor 46053 and 46062 is 9.

Also check out the Least Common Multiple of 46053 and 46062