What is the Greatest Common Factor of 46568 and 46585?

Greatest common factor (GCF) of 46568 and 46585 is 1.

GCF(46568,46585) = 1

We will now calculate the prime factors of 46568 and 46585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46568 and 46585.

How to find the GCF of 46568 and 46585?

We will first find the prime factorization of 46568 and 46585. After we will calculate the factors of 46568 and 46585 and find the biggest common factor number .

Step-1: Prime Factorization of 46568

Prime factors of 46568 are 2, 5821. Prime factorization of 46568 in exponential form is:

46568 = 2³ × 5821¹

Step-2: 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-3: Factors of 46568

List of positive integer factors of 46568 that divides 46568 without a remainder.

1, 2, 4, 8, 5821, 11642, 23284

Step-4: Factors of 46585

List of positive integer factors of 46585 that divides 46568 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46568 and 46585. The biggest common factor number is the GCF number.
So the greatest common factor 46568 and 46585 is 1.

Also check out the Least Common Multiple of 46568 and 46585