What is the Greatest Common Factor of 23364 and 23374?

Greatest common factor (GCF) of 23364 and 23374 is 2.

GCF(23364,23374) = 2

We will now calculate the prime factors of 23364 and 23374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23364 and 23374.

How to find the GCF of 23364 and 23374?

We will first find the prime factorization of 23364 and 23374. After we will calculate the factors of 23364 and 23374 and find the biggest common factor number .

Step-1: Prime Factorization of 23364

Prime factors of 23364 are 2, 3, 11, 59. Prime factorization of 23364 in exponential form is:

23364 = 2² × 3² × 11¹ × 59¹

Step-2: Prime Factorization of 23374

Prime factors of 23374 are 2, 13, 29, 31. Prime factorization of 23374 in exponential form is:

23374 = 2¹ × 13¹ × 29¹ × 31¹

Step-3: Factors of 23364

List of positive integer factors of 23364 that divides 23364 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 59, 66, 99, 118, 132, 177, 198, 236, 354, 396, 531, 649, 708, 1062, 1298, 1947, 2124, 2596, 3894, 5841, 7788, 11682

Step-4: Factors of 23374

List of positive integer factors of 23374 that divides 23364 without a remainder.

1, 2, 13, 26, 29, 31, 58, 62, 377, 403, 754, 806, 899, 1798, 11687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23364 and 23374. The biggest common factor number is the GCF number.
So the greatest common factor 23364 and 23374 is 2.

Also check out the Least Common Multiple of 23364 and 23374