What is the Greatest Common Factor of 46967 and 46971?

Greatest common factor (GCF) of 46967 and 46971 is 1.

GCF(46967,46971) = 1

We will now calculate the prime factors of 46967 and 46971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46967 and 46971.

How to find the GCF of 46967 and 46971?

We will first find the prime factorization of 46967 and 46971. After we will calculate the factors of 46967 and 46971 and find the biggest common factor number .

Step-1: Prime Factorization of 46967

Prime factors of 46967 are 67, 701. Prime factorization of 46967 in exponential form is:

46967 = 67¹ × 701¹

Step-2: Prime Factorization of 46971

Prime factors of 46971 are 3, 17, 307. Prime factorization of 46971 in exponential form is:

46971 = 3² × 17¹ × 307¹

Step-3: Factors of 46967

List of positive integer factors of 46967 that divides 46967 without a remainder.

1, 67, 701

Step-4: Factors of 46971

List of positive integer factors of 46971 that divides 46967 without a remainder.

1, 3, 9, 17, 51, 153, 307, 921, 2763, 5219, 15657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46967 and 46971. The biggest common factor number is the GCF number.
So the greatest common factor 46967 and 46971 is 1.

Also check out the Least Common Multiple of 46967 and 46971