What is the Greatest Common Factor of 29208 and 29220?

Greatest common factor (GCF) of 29208 and 29220 is 12.

GCF(29208,29220) = 12

We will now calculate the prime factors of 29208 and 29220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29208 and 29220.

How to find the GCF of 29208 and 29220?

We will first find the prime factorization of 29208 and 29220. After we will calculate the factors of 29208 and 29220 and find the biggest common factor number .

Step-1: Prime Factorization of 29208

Prime factors of 29208 are 2, 3, 1217. Prime factorization of 29208 in exponential form is:

29208 = 2³ × 3¹ × 1217¹

Step-2: Prime Factorization of 29220

Prime factors of 29220 are 2, 3, 5, 487. Prime factorization of 29220 in exponential form is:

29220 = 2² × 3¹ × 5¹ × 487¹

Step-3: Factors of 29208

List of positive integer factors of 29208 that divides 29208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1217, 2434, 3651, 4868, 7302, 9736, 14604

Step-4: Factors of 29220

List of positive integer factors of 29220 that divides 29208 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 487, 974, 1461, 1948, 2435, 2922, 4870, 5844, 7305, 9740, 14610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29208 and 29220. The biggest common factor number is the GCF number.
So the greatest common factor 29208 and 29220 is 12.

Also check out the Least Common Multiple of 29208 and 29220