What is the Greatest Common Factor of 46592 and 46609?

Greatest common factor (GCF) of 46592 and 46609 is 1.

GCF(46592,46609) = 1

We will now calculate the prime factors of 46592 and 46609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46592 and 46609.

How to find the GCF of 46592 and 46609?

We will first find the prime factorization of 46592 and 46609. After we will calculate the factors of 46592 and 46609 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46609

Prime factors of 46609 are 127, 367. Prime factorization of 46609 in exponential form is:

46609 = 127¹ × 367¹

Step-3: Factors of 46592

List of positive integer factors of 46592 that divides 46592 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

Step-4: Factors of 46609

List of positive integer factors of 46609 that divides 46592 without a remainder.

1, 127, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46592 and 46609. The biggest common factor number is the GCF number.
So the greatest common factor 46592 and 46609 is 1.

Also check out the Least Common Multiple of 46592 and 46609