What is the Greatest Common Factor of 46563 and 46580?

Greatest common factor (GCF) of 46563 and 46580 is 17.

GCF(46563,46580) = 17

We will now calculate the prime factors of 46563 and 46580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46563 and 46580.

How to find the GCF of 46563 and 46580?

We will first find the prime factorization of 46563 and 46580. After we will calculate the factors of 46563 and 46580 and find the biggest common factor number .

Step-1: Prime Factorization of 46563

Prime factors of 46563 are 3, 11, 17, 83. Prime factorization of 46563 in exponential form is:

46563 = 3¹ × 11¹ × 17¹ × 83¹

Step-2: Prime Factorization of 46580

Prime factors of 46580 are 2, 5, 17, 137. Prime factorization of 46580 in exponential form is:

46580 = 2² × 5¹ × 17¹ × 137¹

Step-3: Factors of 46563

List of positive integer factors of 46563 that divides 46563 without a remainder.

1, 3, 11, 17, 33, 51, 83, 187, 249, 561, 913, 1411, 2739, 4233, 15521

Step-4: Factors of 46580

List of positive integer factors of 46580 that divides 46563 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 137, 170, 274, 340, 548, 685, 1370, 2329, 2740, 4658, 9316, 11645, 23290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46563 and 46580. The biggest common factor number is the GCF number.
So the greatest common factor 46563 and 46580 is 17.

Also check out the Least Common Multiple of 46563 and 46580