What is the Greatest Common Factor of 29922 and 29941?

Greatest common factor (GCF) of 29922 and 29941 is 1.

GCF(29922,29941) = 1

We will now calculate the prime factors of 29922 and 29941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29922 and 29941.

How to find the GCF of 29922 and 29941?

We will first find the prime factorization of 29922 and 29941. After we will calculate the factors of 29922 and 29941 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29941

Prime factors of 29941 are 79, 379. Prime factorization of 29941 in exponential form is:

29941 = 79¹ × 379¹

Step-3: Factors of 29922

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

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

Step-4: Factors of 29941

List of positive integer factors of 29941 that divides 29922 without a remainder.

1, 79, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29922 and 29941. The biggest common factor number is the GCF number.
So the greatest common factor 29922 and 29941 is 1.

Also check out the Least Common Multiple of 29922 and 29941