What is the Greatest Common Factor of 29330 and 29340?

Greatest common factor (GCF) of 29330 and 29340 is 10.

GCF(29330,29340) = 10

We will now calculate the prime factors of 29330 and 29340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29330 and 29340.

How to find the GCF of 29330 and 29340?

We will first find the prime factorization of 29330 and 29340. After we will calculate the factors of 29330 and 29340 and find the biggest common factor number .

Step-1: Prime Factorization of 29330

Prime factors of 29330 are 2, 5, 7, 419. Prime factorization of 29330 in exponential form is:

29330 = 2¹ × 5¹ × 7¹ × 419¹

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 29330

List of positive integer factors of 29330 that divides 29330 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 419, 838, 2095, 2933, 4190, 5866, 14665

Step-4: Factors of 29340

List of positive integer factors of 29340 that divides 29330 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 29330 and 29340. The biggest common factor number is the GCF number.
So the greatest common factor 29330 and 29340 is 10.

Also check out the Least Common Multiple of 29330 and 29340