What is the Greatest Common Factor of 29892 and 29911?

Greatest common factor (GCF) of 29892 and 29911 is 1.

GCF(29892,29911) = 1

We will now calculate the prime factors of 29892 and 29911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29892 and 29911.

How to find the GCF of 29892 and 29911?

We will first find the prime factorization of 29892 and 29911. After we will calculate the factors of 29892 and 29911 and find the biggest common factor number .

Step-1: Prime Factorization of 29892

Prime factors of 29892 are 2, 3, 47, 53. Prime factorization of 29892 in exponential form is:

29892 = 2² × 3¹ × 47¹ × 53¹

Step-2: Prime Factorization of 29911

Prime factors of 29911 are 7, 4273. Prime factorization of 29911 in exponential form is:

29911 = 7¹ × 4273¹

Step-3: Factors of 29892

List of positive integer factors of 29892 that divides 29892 without a remainder.

1, 2, 3, 4, 6, 12, 47, 53, 94, 106, 141, 159, 188, 212, 282, 318, 564, 636, 2491, 4982, 7473, 9964, 14946

Step-4: Factors of 29911

List of positive integer factors of 29911 that divides 29892 without a remainder.

1, 7, 4273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29892 and 29911. The biggest common factor number is the GCF number.
So the greatest common factor 29892 and 29911 is 1.

Also check out the Least Common Multiple of 29892 and 29911