What is the Greatest Common Factor of 23009 and 23016?

Greatest common factor (GCF) of 23009 and 23016 is 7.

GCF(23009,23016) = 7

We will now calculate the prime factors of 23009 and 23016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23009 and 23016.

How to find the GCF of 23009 and 23016?

We will first find the prime factorization of 23009 and 23016. After we will calculate the factors of 23009 and 23016 and find the biggest common factor number .

Step-1: Prime Factorization of 23009

Prime factors of 23009 are 7, 19, 173. Prime factorization of 23009 in exponential form is:

23009 = 7¹ × 19¹ × 173¹

Step-2: Prime Factorization of 23016

Prime factors of 23016 are 2, 3, 7, 137. Prime factorization of 23016 in exponential form is:

23016 = 2³ × 3¹ × 7¹ × 137¹

Step-3: Factors of 23009

List of positive integer factors of 23009 that divides 23009 without a remainder.

1, 7, 19, 133, 173, 1211, 3287

Step-4: Factors of 23016

List of positive integer factors of 23016 that divides 23009 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 137, 168, 274, 411, 548, 822, 959, 1096, 1644, 1918, 2877, 3288, 3836, 5754, 7672, 11508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23009 and 23016. The biggest common factor number is the GCF number.
So the greatest common factor 23009 and 23016 is 7.

Also check out the Least Common Multiple of 23009 and 23016