What is the Greatest Common Factor of 46138 and 46155?

Greatest common factor (GCF) of 46138 and 46155 is 17.

GCF(46138,46155) = 17

We will now calculate the prime factors of 46138 and 46155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46138 and 46155.

How to find the GCF of 46138 and 46155?

We will first find the prime factorization of 46138 and 46155. After we will calculate the factors of 46138 and 46155 and find the biggest common factor number .

Step-1: Prime Factorization of 46138

Prime factors of 46138 are 2, 17, 23, 59. Prime factorization of 46138 in exponential form is:

46138 = 2¹ × 17¹ × 23¹ × 59¹

Step-2: Prime Factorization of 46155

Prime factors of 46155 are 3, 5, 17, 181. Prime factorization of 46155 in exponential form is:

46155 = 3¹ × 5¹ × 17¹ × 181¹

Step-3: Factors of 46138

List of positive integer factors of 46138 that divides 46138 without a remainder.

1, 2, 17, 23, 34, 46, 59, 118, 391, 782, 1003, 1357, 2006, 2714, 23069

Step-4: Factors of 46155

List of positive integer factors of 46155 that divides 46138 without a remainder.

1, 3, 5, 15, 17, 51, 85, 181, 255, 543, 905, 2715, 3077, 9231, 15385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46138 and 46155. The biggest common factor number is the GCF number.
So the greatest common factor 46138 and 46155 is 17.

Also check out the Least Common Multiple of 46138 and 46155