What is the Greatest Common Factor of 46909 and 46927?

Greatest common factor (GCF) of 46909 and 46927 is 1.

GCF(46909,46927) = 1

We will now calculate the prime factors of 46909 and 46927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46909 and 46927.

How to find the GCF of 46909 and 46927?

We will first find the prime factorization of 46909 and 46927. After we will calculate the factors of 46909 and 46927 and find the biggest common factor number .

Step-1: Prime Factorization of 46909

Prime factors of 46909 are 61, 769. Prime factorization of 46909 in exponential form is:

46909 = 61¹ × 769¹

Step-2: Prime Factorization of 46927

Prime factors of 46927 are 167, 281. Prime factorization of 46927 in exponential form is:

46927 = 167¹ × 281¹

Step-3: Factors of 46909

List of positive integer factors of 46909 that divides 46909 without a remainder.

1, 61, 769

Step-4: Factors of 46927

List of positive integer factors of 46927 that divides 46909 without a remainder.

1, 167, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46909 and 46927. The biggest common factor number is the GCF number.
So the greatest common factor 46909 and 46927 is 1.

Also check out the Least Common Multiple of 46909 and 46927