What is the Greatest Common Factor of 23002 and 23016?

Greatest common factor (GCF) of 23002 and 23016 is 14.

GCF(23002,23016) = 14

We will now calculate the prime factors of 23002 and 23016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23002 and 23016.

How to find the GCF of 23002 and 23016?

We will first find the prime factorization of 23002 and 23016. After we will calculate the factors of 23002 and 23016 and find the biggest common factor number .

Step-1: Prime Factorization of 23002

Prime factors of 23002 are 2, 7, 31, 53. Prime factorization of 23002 in exponential form is:

23002 = 2¹ × 7¹ × 31¹ × 53¹

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 23002

List of positive integer factors of 23002 that divides 23002 without a remainder.

1, 2, 7, 14, 31, 53, 62, 106, 217, 371, 434, 742, 1643, 3286, 11501

Step-4: Factors of 23016

List of positive integer factors of 23016 that divides 23002 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 23002 and 23016. The biggest common factor number is the GCF number.
So the greatest common factor 23002 and 23016 is 14.

Also check out the Least Common Multiple of 23002 and 23016