What is the Greatest Common Factor of 29300 and 29310?

Greatest common factor (GCF) of 29300 and 29310 is 10.

GCF(29300,29310) = 10

We will now calculate the prime factors of 29300 and 29310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29300 and 29310.

How to find the GCF of 29300 and 29310?

We will first find the prime factorization of 29300 and 29310. After we will calculate the factors of 29300 and 29310 and find the biggest common factor number .

Step-1: Prime Factorization of 29300

Prime factors of 29300 are 2, 5, 293. Prime factorization of 29300 in exponential form is:

29300 = 2² × 5² × 293¹

Step-2: 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-3: Factors of 29300

List of positive integer factors of 29300 that divides 29300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 293, 586, 1172, 1465, 2930, 5860, 7325, 14650

Step-4: Factors of 29310

List of positive integer factors of 29310 that divides 29300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29300 and 29310. The biggest common factor number is the GCF number.
So the greatest common factor 29300 and 29310 is 10.

Also check out the Least Common Multiple of 29300 and 29310