What is the Greatest Common Factor of 46033 and 46046?

Greatest common factor (GCF) of 46033 and 46046 is 13.

GCF(46033,46046) = 13

We will now calculate the prime factors of 46033 and 46046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46033 and 46046.

How to find the GCF of 46033 and 46046?

We will first find the prime factorization of 46033 and 46046. After we will calculate the factors of 46033 and 46046 and find the biggest common factor number .

Step-1: Prime Factorization of 46033

Prime factors of 46033 are 13, 3541. Prime factorization of 46033 in exponential form is:

46033 = 13¹ × 3541¹

Step-2: Prime Factorization of 46046

Prime factors of 46046 are 2, 7, 11, 13, 23. Prime factorization of 46046 in exponential form is:

46046 = 2¹ × 7¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 46033

List of positive integer factors of 46033 that divides 46033 without a remainder.

1, 13, 3541

Step-4: Factors of 46046

List of positive integer factors of 46046 that divides 46033 without a remainder.

1, 2, 7, 11, 13, 14, 22, 23, 26, 46, 77, 91, 143, 154, 161, 182, 253, 286, 299, 322, 506, 598, 1001, 1771, 2002, 2093, 3289, 3542, 4186, 6578, 23023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46033 and 46046. The biggest common factor number is the GCF number.
So the greatest common factor 46033 and 46046 is 13.

Also check out the Least Common Multiple of 46033 and 46046