What is the Greatest Common Factor of 46695 and 46699?

Greatest common factor (GCF) of 46695 and 46699 is 1.

GCF(46695,46699) = 1

We will now calculate the prime factors of 46695 and 46699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46695 and 46699.

How to find the GCF of 46695 and 46699?

We will first find the prime factorization of 46695 and 46699. After we will calculate the factors of 46695 and 46699 and find the biggest common factor number .

Step-1: Prime Factorization of 46695

Prime factors of 46695 are 3, 5, 11, 283. Prime factorization of 46695 in exponential form is:

46695 = 3¹ × 5¹ × 11¹ × 283¹

Step-2: Prime Factorization of 46699

Prime factors of 46699 are 17, 41, 67. Prime factorization of 46699 in exponential form is:

46699 = 17¹ × 41¹ × 67¹

Step-3: Factors of 46695

List of positive integer factors of 46695 that divides 46695 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 283, 849, 1415, 3113, 4245, 9339, 15565

Step-4: Factors of 46699

List of positive integer factors of 46699 that divides 46695 without a remainder.

1, 17, 41, 67, 697, 1139, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46695 and 46699. The biggest common factor number is the GCF number.
So the greatest common factor 46695 and 46699 is 1.

Also check out the Least Common Multiple of 46695 and 46699