What is the Greatest Common Factor of 29932 and 29946?

Greatest common factor (GCF) of 29932 and 29946 is 14.

GCF(29932,29946) = 14

We will now calculate the prime factors of 29932 and 29946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29932 and 29946.

How to find the GCF of 29932 and 29946?

We will first find the prime factorization of 29932 and 29946. After we will calculate the factors of 29932 and 29946 and find the biggest common factor number .

Step-1: Prime Factorization of 29932

Prime factors of 29932 are 2, 7, 1069. Prime factorization of 29932 in exponential form is:

29932 = 2² × 7¹ × 1069¹

Step-2: Prime Factorization of 29946

Prime factors of 29946 are 2, 3, 7, 23, 31. Prime factorization of 29946 in exponential form is:

29946 = 2¹ × 3¹ × 7¹ × 23¹ × 31¹

Step-3: Factors of 29932

List of positive integer factors of 29932 that divides 29932 without a remainder.

1, 2, 4, 7, 14, 28, 1069, 2138, 4276, 7483, 14966

Step-4: Factors of 29946

List of positive integer factors of 29946 that divides 29932 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 31, 42, 46, 62, 69, 93, 138, 161, 186, 217, 322, 434, 483, 651, 713, 966, 1302, 1426, 2139, 4278, 4991, 9982, 14973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29932 and 29946. The biggest common factor number is the GCF number.
So the greatest common factor 29932 and 29946 is 14.

Also check out the Least Common Multiple of 29932 and 29946