What is the Greatest Common Factor of 29328 and 29340?

Greatest common factor (GCF) of 29328 and 29340 is 12.

GCF(29328,29340) = 12

We will now calculate the prime factors of 29328 and 29340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29328 and 29340.

How to find the GCF of 29328 and 29340?

We will first find the prime factorization of 29328 and 29340. After we will calculate the factors of 29328 and 29340 and find the biggest common factor number .

Step-1: Prime Factorization of 29328

Prime factors of 29328 are 2, 3, 13, 47. Prime factorization of 29328 in exponential form is:

29328 = 2⁴ × 3¹ × 13¹ × 47¹

Step-2: Prime Factorization of 29340

Prime factors of 29340 are 2, 3, 5, 163. Prime factorization of 29340 in exponential form is:

29340 = 2² × 3² × 5¹ × 163¹

Step-3: Factors of 29328

List of positive integer factors of 29328 that divides 29328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 47, 48, 52, 78, 94, 104, 141, 156, 188, 208, 282, 312, 376, 564, 611, 624, 752, 1128, 1222, 1833, 2256, 2444, 3666, 4888, 7332, 9776, 14664

Step-4: Factors of 29340

List of positive integer factors of 29340 that divides 29328 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 163, 180, 326, 489, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4890, 5868, 7335, 9780, 14670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29328 and 29340. The biggest common factor number is the GCF number.
So the greatest common factor 29328 and 29340 is 12.

Also check out the Least Common Multiple of 29328 and 29340