What is the Greatest Common Factor of 23364 and 23384?

Greatest common factor (GCF) of 23364 and 23384 is 4.

GCF(23364,23384) = 4

We will now calculate the prime factors of 23364 and 23384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23364 and 23384.

How to find the GCF of 23364 and 23384?

We will first find the prime factorization of 23364 and 23384. After we will calculate the factors of 23364 and 23384 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 23384

Prime factors of 23384 are 2, 37, 79. Prime factorization of 23384 in exponential form is:

23384 = 2³ × 37¹ × 79¹

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 23384

List of positive integer factors of 23384 that divides 23364 without a remainder.

1, 2, 4, 8, 37, 74, 79, 148, 158, 296, 316, 632, 2923, 5846, 11692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23364 and 23384. The biggest common factor number is the GCF number.
So the greatest common factor 23364 and 23384 is 4.

Also check out the Least Common Multiple of 23364 and 23384