What is the Greatest Common Factor of 29710 and 29720?

Greatest common factor (GCF) of 29710 and 29720 is 10.

GCF(29710,29720) = 10

We will now calculate the prime factors of 29710 and 29720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29710 and 29720.

How to find the GCF of 29710 and 29720?

We will first find the prime factorization of 29710 and 29720. After we will calculate the factors of 29710 and 29720 and find the biggest common factor number .

Step-1: Prime Factorization of 29710

Prime factors of 29710 are 2, 5, 2971. Prime factorization of 29710 in exponential form is:

29710 = 2¹ × 5¹ × 2971¹

Step-2: Prime Factorization of 29720

Prime factors of 29720 are 2, 5, 743. Prime factorization of 29720 in exponential form is:

29720 = 2³ × 5¹ × 743¹

Step-3: Factors of 29710

List of positive integer factors of 29710 that divides 29710 without a remainder.

1, 2, 5, 10, 2971, 5942, 14855

Step-4: Factors of 29720

List of positive integer factors of 29720 that divides 29710 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 743, 1486, 2972, 3715, 5944, 7430, 14860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29710 and 29720. The biggest common factor number is the GCF number.
So the greatest common factor 29710 and 29720 is 10.

Also check out the Least Common Multiple of 29710 and 29720