What is the Greatest Common Factor of 29332 and 29346?

Greatest common factor (GCF) of 29332 and 29346 is 2.

GCF(29332,29346) = 2

We will now calculate the prime factors of 29332 and 29346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29332 and 29346.

How to find the GCF of 29332 and 29346?

We will first find the prime factorization of 29332 and 29346. After we will calculate the factors of 29332 and 29346 and find the biggest common factor number .

Step-1: Prime Factorization of 29332

Prime factors of 29332 are 2, 7333. Prime factorization of 29332 in exponential form is:

29332 = 2² × 7333¹

Step-2: Prime Factorization of 29346

Prime factors of 29346 are 2, 3, 67, 73. Prime factorization of 29346 in exponential form is:

29346 = 2¹ × 3¹ × 67¹ × 73¹

Step-3: Factors of 29332

List of positive integer factors of 29332 that divides 29332 without a remainder.

1, 2, 4, 7333, 14666

Step-4: Factors of 29346

List of positive integer factors of 29346 that divides 29332 without a remainder.

1, 2, 3, 6, 67, 73, 134, 146, 201, 219, 402, 438, 4891, 9782, 14673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29332 and 29346. The biggest common factor number is the GCF number.
So the greatest common factor 29332 and 29346 is 2.

Also check out the Least Common Multiple of 29332 and 29346