What is the Greatest Common Factor of 46585 and 46592?

Greatest common factor (GCF) of 46585 and 46592 is 7.

GCF(46585,46592) = 7

We will now calculate the prime factors of 46585 and 46592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46585 and 46592.

How to find the GCF of 46585 and 46592?

We will first find the prime factorization of 46585 and 46592. After we will calculate the factors of 46585 and 46592 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 46592

Prime factors of 46592 are 2, 7, 13. Prime factorization of 46592 in exponential form is:

46592 = 2⁹ × 7¹ × 13¹

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 46592

List of positive integer factors of 46592 that divides 46585 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 128, 182, 208, 224, 256, 364, 416, 448, 512, 728, 832, 896, 1456, 1664, 1792, 2912, 3328, 3584, 5824, 6656, 11648, 23296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46585 and 46592. The biggest common factor number is the GCF number.
So the greatest common factor 46585 and 46592 is 7.

Also check out the Least Common Multiple of 46585 and 46592