What is the Greatest Common Factor of 29310 and 29330?

Greatest common factor (GCF) of 29310 and 29330 is 10.

GCF(29310,29330) = 10

We will now calculate the prime factors of 29310 and 29330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29310 and 29330.

How to find the GCF of 29310 and 29330?

We will first find the prime factorization of 29310 and 29330. After we will calculate the factors of 29310 and 29330 and find the biggest common factor number .

Step-1: Prime Factorization of 29310

Prime factors of 29310 are 2, 3, 5, 977. Prime factorization of 29310 in exponential form is:

29310 = 2¹ × 3¹ × 5¹ × 977¹

Step-2: 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-3: Factors of 29310

List of positive integer factors of 29310 that divides 29310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 977, 1954, 2931, 4885, 5862, 9770, 14655

Step-4: Factors of 29330

List of positive integer factors of 29330 that divides 29310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29310 and 29330. The biggest common factor number is the GCF number.
So the greatest common factor 29310 and 29330 is 10.

Also check out the Least Common Multiple of 29310 and 29330