What is the Greatest Common Factor of 29832 and 29843?

Greatest common factor (GCF) of 29832 and 29843 is 11.

GCF(29832,29843) = 11

We will now calculate the prime factors of 29832 and 29843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29832 and 29843.

How to find the GCF of 29832 and 29843?

We will first find the prime factorization of 29832 and 29843. After we will calculate the factors of 29832 and 29843 and find the biggest common factor number .

Step-1: Prime Factorization of 29832

Prime factors of 29832 are 2, 3, 11, 113. Prime factorization of 29832 in exponential form is:

29832 = 2³ × 3¹ × 11¹ × 113¹

Step-2: Prime Factorization of 29843

Prime factors of 29843 are 11, 2713. Prime factorization of 29843 in exponential form is:

29843 = 11¹ × 2713¹

Step-3: Factors of 29832

List of positive integer factors of 29832 that divides 29832 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 113, 132, 226, 264, 339, 452, 678, 904, 1243, 1356, 2486, 2712, 3729, 4972, 7458, 9944, 14916

Step-4: Factors of 29843

List of positive integer factors of 29843 that divides 29832 without a remainder.

1, 11, 2713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29832 and 29843. The biggest common factor number is the GCF number.
So the greatest common factor 29832 and 29843 is 11.

Also check out the Least Common Multiple of 29832 and 29843