What is the Greatest Common Factor of 29428 and 29442?

Greatest common factor (GCF) of 29428 and 29442 is 14.

GCF(29428,29442) = 14

We will now calculate the prime factors of 29428 and 29442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29428 and 29442.

How to find the GCF of 29428 and 29442?

We will first find the prime factorization of 29428 and 29442. After we will calculate the factors of 29428 and 29442 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 29442

Prime factors of 29442 are 2, 3, 7, 701. Prime factorization of 29442 in exponential form is:

29442 = 2¹ × 3¹ × 7¹ × 701¹

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 29442

List of positive integer factors of 29442 that divides 29428 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 701, 1402, 2103, 4206, 4907, 9814, 14721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29428 and 29442. The biggest common factor number is the GCF number.
So the greatest common factor 29428 and 29442 is 14.

Also check out the Least Common Multiple of 29428 and 29442