What is the Greatest Common Factor of 46971 and 46988?

Greatest common factor (GCF) of 46971 and 46988 is 17.

GCF(46971,46988) = 17

We will now calculate the prime factors of 46971 and 46988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46971 and 46988.

How to find the GCF of 46971 and 46988?

We will first find the prime factorization of 46971 and 46988. After we will calculate the factors of 46971 and 46988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46988

Prime factors of 46988 are 2, 17, 691. Prime factorization of 46988 in exponential form is:

46988 = 2² × 17¹ × 691¹

Step-3: Factors of 46971

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

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

Step-4: Factors of 46988

List of positive integer factors of 46988 that divides 46971 without a remainder.

1, 2, 4, 17, 34, 68, 691, 1382, 2764, 11747, 23494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46971 and 46988. The biggest common factor number is the GCF number.
So the greatest common factor 46971 and 46988 is 17.

Also check out the Least Common Multiple of 46971 and 46988