What is the Greatest Common Factor of 29112 and 29132?

Greatest common factor (GCF) of 29112 and 29132 is 4.

GCF(29112,29132) = 4

We will now calculate the prime factors of 29112 and 29132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29112 and 29132.

How to find the GCF of 29112 and 29132?

We will first find the prime factorization of 29112 and 29132. After we will calculate the factors of 29112 and 29132 and find the biggest common factor number .

Step-1: Prime Factorization of 29112

Prime factors of 29112 are 2, 3, 1213. Prime factorization of 29112 in exponential form is:

29112 = 2³ × 3¹ × 1213¹

Step-2: Prime Factorization of 29132

Prime factors of 29132 are 2, 7283. Prime factorization of 29132 in exponential form is:

29132 = 2² × 7283¹

Step-3: Factors of 29112

List of positive integer factors of 29112 that divides 29112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1213, 2426, 3639, 4852, 7278, 9704, 14556

Step-4: Factors of 29132

List of positive integer factors of 29132 that divides 29112 without a remainder.

1, 2, 4, 7283, 14566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29112 and 29132. The biggest common factor number is the GCF number.
So the greatest common factor 29112 and 29132 is 4.

Also check out the Least Common Multiple of 29112 and 29132