What is the Greatest Common Factor of 29340 and 29356?

Greatest common factor (GCF) of 29340 and 29356 is 4.

GCF(29340,29356) = 4

We will now calculate the prime factors of 29340 and 29356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29340 and 29356.

How to find the GCF of 29340 and 29356?

We will first find the prime factorization of 29340 and 29356. After we will calculate the factors of 29340 and 29356 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 29356

Prime factors of 29356 are 2, 41, 179. Prime factorization of 29356 in exponential form is:

29356 = 2² × 41¹ × 179¹

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 29356

List of positive integer factors of 29356 that divides 29340 without a remainder.

1, 2, 4, 41, 82, 164, 179, 358, 716, 7339, 14678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29340 and 29356. The biggest common factor number is the GCF number.
So the greatest common factor 29340 and 29356 is 4.

Also check out the Least Common Multiple of 29340 and 29356