What is the Greatest Common Factor of 46580 and 46595?

Greatest common factor (GCF) of 46580 and 46595 is 5.

GCF(46580,46595) = 5

We will now calculate the prime factors of 46580 and 46595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46580 and 46595.

How to find the GCF of 46580 and 46595?

We will first find the prime factorization of 46580 and 46595. After we will calculate the factors of 46580 and 46595 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46595

Prime factors of 46595 are 5, 9319. Prime factorization of 46595 in exponential form is:

46595 = 5¹ × 9319¹

Step-3: Factors of 46580

List of positive integer factors of 46580 that divides 46580 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

Step-4: Factors of 46595

List of positive integer factors of 46595 that divides 46580 without a remainder.

1, 5, 9319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46580 and 46595. The biggest common factor number is the GCF number.
So the greatest common factor 46580 and 46595 is 5.

Also check out the Least Common Multiple of 46580 and 46595