What is the Greatest Common Factor of 29638 and 29642?

Greatest common factor (GCF) of 29638 and 29642 is 2.

GCF(29638,29642) = 2

We will now calculate the prime factors of 29638 and 29642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29638 and 29642.

How to find the GCF of 29638 and 29642?

We will first find the prime factorization of 29638 and 29642. After we will calculate the factors of 29638 and 29642 and find the biggest common factor number .

Step-1: Prime Factorization of 29638

Prime factors of 29638 are 2, 7, 29, 73. Prime factorization of 29638 in exponential form is:

29638 = 2¹ × 7¹ × 29¹ × 73¹

Step-2: Prime Factorization of 29642

Prime factors of 29642 are 2, 14821. Prime factorization of 29642 in exponential form is:

29642 = 2¹ × 14821¹

Step-3: Factors of 29638

List of positive integer factors of 29638 that divides 29638 without a remainder.

1, 2, 7, 14, 29, 58, 73, 146, 203, 406, 511, 1022, 2117, 4234, 14819

Step-4: Factors of 29642

List of positive integer factors of 29642 that divides 29638 without a remainder.

1, 2, 14821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29638 and 29642. The biggest common factor number is the GCF number.
So the greatest common factor 29638 and 29642 is 2.

Also check out the Least Common Multiple of 29638 and 29642