What is the Greatest Common Factor of 29340 and 29344?

Greatest common factor (GCF) of 29340 and 29344 is 4.

GCF(29340,29344) = 4

We will now calculate the prime factors of 29340 and 29344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29340 and 29344.

How to find the GCF of 29340 and 29344?

We will first find the prime factorization of 29340 and 29344. After we will calculate the factors of 29340 and 29344 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29344

Prime factors of 29344 are 2, 7, 131. Prime factorization of 29344 in exponential form is:

29344 = 2⁵ × 7¹ × 131¹

Step-3: Factors of 29340

List of positive integer factors of 29340 that divides 29340 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

Step-4: Factors of 29344

List of positive integer factors of 29344 that divides 29340 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 131, 224, 262, 524, 917, 1048, 1834, 2096, 3668, 4192, 7336, 14672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29340 and 29344. The biggest common factor number is the GCF number.
So the greatest common factor 29340 and 29344 is 4.

Also check out the Least Common Multiple of 29340 and 29344