What is the Greatest Common Factor of 46585 and 46590?

Greatest common factor (GCF) of 46585 and 46590 is 5.

GCF(46585,46590) = 5

We will now calculate the prime factors of 46585 and 46590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46585 and 46590.

How to find the GCF of 46585 and 46590?

We will first find the prime factorization of 46585 and 46590. After we will calculate the factors of 46585 and 46590 and find the biggest common factor number .

Step-1: Prime Factorization of 46585

Prime factors of 46585 are 5, 7, 11. Prime factorization of 46585 in exponential form is:

46585 = 5¹ × 7¹ × 11³

Step-2: Prime Factorization of 46590

Prime factors of 46590 are 2, 3, 5, 1553. Prime factorization of 46590 in exponential form is:

46590 = 2¹ × 3¹ × 5¹ × 1553¹

Step-3: Factors of 46585

List of positive integer factors of 46585 that divides 46585 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 1331, 4235, 6655, 9317

Step-4: Factors of 46590

List of positive integer factors of 46590 that divides 46585 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1553, 3106, 4659, 7765, 9318, 15530, 23295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46585 and 46590. The biggest common factor number is the GCF number.
So the greatest common factor 46585 and 46590 is 5.

Also check out the Least Common Multiple of 46585 and 46590