What is the Greatest Common Factor of 29428 and 29432?

Greatest common factor (GCF) of 29428 and 29432 is 4.

GCF(29428,29432) = 4

We will now calculate the prime factors of 29428 and 29432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29428 and 29432.

How to find the GCF of 29428 and 29432?

We will first find the prime factorization of 29428 and 29432. After we will calculate the factors of 29428 and 29432 and find the biggest common factor number .

Step-1: Prime Factorization of 29428

Prime factors of 29428 are 2, 7, 1051. Prime factorization of 29428 in exponential form is:

29428 = 2² × 7¹ × 1051¹

Step-2: Prime Factorization of 29432

Prime factors of 29432 are 2, 13, 283. Prime factorization of 29432 in exponential form is:

29432 = 2³ × 13¹ × 283¹

Step-3: Factors of 29428

List of positive integer factors of 29428 that divides 29428 without a remainder.

1, 2, 4, 7, 14, 28, 1051, 2102, 4204, 7357, 14714

Step-4: Factors of 29432

List of positive integer factors of 29432 that divides 29428 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 283, 566, 1132, 2264, 3679, 7358, 14716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29428 and 29432. The biggest common factor number is the GCF number.
So the greatest common factor 29428 and 29432 is 4.

Also check out the Least Common Multiple of 29428 and 29432