What is the Greatest Common Factor of 46609 and 46626?

Greatest common factor (GCF) of 46609 and 46626 is 1.

GCF(46609,46626) = 1

We will now calculate the prime factors of 46609 and 46626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46609 and 46626.

How to find the GCF of 46609 and 46626?

We will first find the prime factorization of 46609 and 46626. After we will calculate the factors of 46609 and 46626 and find the biggest common factor number .

Step-1: Prime Factorization of 46609

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

46609 = 127¹ × 367¹

Step-2: Prime Factorization of 46626

Prime factors of 46626 are 2, 3, 19, 409. Prime factorization of 46626 in exponential form is:

46626 = 2¹ × 3¹ × 19¹ × 409¹

Step-3: Factors of 46609

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

1, 127, 367

Step-4: Factors of 46626

List of positive integer factors of 46626 that divides 46609 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 409, 818, 1227, 2454, 7771, 15542, 23313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46609 and 46626. The biggest common factor number is the GCF number.
So the greatest common factor 46609 and 46626 is 1.

Also check out the Least Common Multiple of 46609 and 46626