What is the Greatest Common Factor of 46922 and 46936?

Greatest common factor (GCF) of 46922 and 46936 is 2.

GCF(46922,46936) = 2

We will now calculate the prime factors of 46922 and 46936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46922 and 46936.

How to find the GCF of 46922 and 46936?

We will first find the prime factorization of 46922 and 46936. After we will calculate the factors of 46922 and 46936 and find the biggest common factor number .

Step-1: Prime Factorization of 46922

Prime factors of 46922 are 2, 29, 809. Prime factorization of 46922 in exponential form is:

46922 = 2¹ × 29¹ × 809¹

Step-2: Prime Factorization of 46936

Prime factors of 46936 are 2, 5867. Prime factorization of 46936 in exponential form is:

46936 = 2³ × 5867¹

Step-3: Factors of 46922

List of positive integer factors of 46922 that divides 46922 without a remainder.

1, 2, 29, 58, 809, 1618, 23461

Step-4: Factors of 46936

List of positive integer factors of 46936 that divides 46922 without a remainder.

1, 2, 4, 8, 5867, 11734, 23468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46922 and 46936. The biggest common factor number is the GCF number.
So the greatest common factor 46922 and 46936 is 2.

Also check out the Least Common Multiple of 46922 and 46936