What is the Greatest Common Factor of 46912 and 46931?

Greatest common factor (GCF) of 46912 and 46931 is 1.

GCF(46912,46931) = 1

We will now calculate the prime factors of 46912 and 46931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46912 and 46931.

How to find the GCF of 46912 and 46931?

We will first find the prime factorization of 46912 and 46931. After we will calculate the factors of 46912 and 46931 and find the biggest common factor number .

Step-1: Prime Factorization of 46912

Prime factors of 46912 are 2, 733. Prime factorization of 46912 in exponential form is:

46912 = 2⁶ × 733¹

Step-2: Prime Factorization of 46931

Prime factors of 46931 are 71, 661. Prime factorization of 46931 in exponential form is:

46931 = 71¹ × 661¹

Step-3: Factors of 46912

List of positive integer factors of 46912 that divides 46912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 733, 1466, 2932, 5864, 11728, 23456

Step-4: Factors of 46931

List of positive integer factors of 46931 that divides 46912 without a remainder.

1, 71, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46912 and 46931. The biggest common factor number is the GCF number.
So the greatest common factor 46912 and 46931 is 1.

Also check out the Least Common Multiple of 46912 and 46931