What is the Greatest Common Factor of 46694 and 46712?

Greatest common factor (GCF) of 46694 and 46712 is 2.

GCF(46694,46712) = 2

We will now calculate the prime factors of 46694 and 46712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46694 and 46712.

How to find the GCF of 46694 and 46712?

We will first find the prime factorization of 46694 and 46712. After we will calculate the factors of 46694 and 46712 and find the biggest common factor number .

Step-1: Prime Factorization of 46694

Prime factors of 46694 are 2, 37, 631. Prime factorization of 46694 in exponential form is:

46694 = 2¹ × 37¹ × 631¹

Step-2: Prime Factorization of 46712

Prime factors of 46712 are 2, 5839. Prime factorization of 46712 in exponential form is:

46712 = 2³ × 5839¹

Step-3: Factors of 46694

List of positive integer factors of 46694 that divides 46694 without a remainder.

1, 2, 37, 74, 631, 1262, 23347

Step-4: Factors of 46712

List of positive integer factors of 46712 that divides 46694 without a remainder.

1, 2, 4, 8, 5839, 11678, 23356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46694 and 46712. The biggest common factor number is the GCF number.
So the greatest common factor 46694 and 46712 is 2.

Also check out the Least Common Multiple of 46694 and 46712