What is the Greatest Common Factor of 29911 and 29922?

Greatest common factor (GCF) of 29911 and 29922 is 1.

GCF(29911,29922) = 1

We will now calculate the prime factors of 29911 and 29922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29911 and 29922.

How to find the GCF of 29911 and 29922?

We will first find the prime factorization of 29911 and 29922. After we will calculate the factors of 29911 and 29922 and find the biggest common factor number .

Step-1: Prime Factorization of 29911

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

29911 = 7¹ × 4273¹

Step-2: Prime Factorization of 29922

Prime factors of 29922 are 2, 3, 4987. Prime factorization of 29922 in exponential form is:

29922 = 2¹ × 3¹ × 4987¹

Step-3: Factors of 29911

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

1, 7, 4273

Step-4: Factors of 29922

List of positive integer factors of 29922 that divides 29911 without a remainder.

1, 2, 3, 6, 4987, 9974, 14961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29911 and 29922. The biggest common factor number is the GCF number.
So the greatest common factor 29911 and 29922 is 1.

Also check out the Least Common Multiple of 29911 and 29922