What is the Greatest Common Factor of 46038 and 46053?

Greatest common factor (GCF) of 46038 and 46053 is 3.

GCF(46038,46053) = 3

We will now calculate the prime factors of 46038 and 46053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46038 and 46053.

How to find the GCF of 46038 and 46053?

We will first find the prime factorization of 46038 and 46053. After we will calculate the factors of 46038 and 46053 and find the biggest common factor number .

Step-1: Prime Factorization of 46038

Prime factors of 46038 are 2, 3, 7673. Prime factorization of 46038 in exponential form is:

46038 = 2¹ × 3¹ × 7673¹

Step-2: 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-3: Factors of 46038

List of positive integer factors of 46038 that divides 46038 without a remainder.

1, 2, 3, 6, 7673, 15346, 23019

Step-4: Factors of 46053

List of positive integer factors of 46053 that divides 46038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46038 and 46053. The biggest common factor number is the GCF number.
So the greatest common factor 46038 and 46053 is 3.

Also check out the Least Common Multiple of 46038 and 46053