What is the Greatest Common Factor of 29638 and 29649?

Greatest common factor (GCF) of 29638 and 29649 is 1.

GCF(29638,29649) = 1

We will now calculate the prime factors of 29638 and 29649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29638 and 29649.

How to find the GCF of 29638 and 29649?

We will first find the prime factorization of 29638 and 29649. After we will calculate the factors of 29638 and 29649 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 29649

Prime factors of 29649 are 3, 9883. Prime factorization of 29649 in exponential form is:

29649 = 3¹ × 9883¹

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 29649

List of positive integer factors of 29649 that divides 29638 without a remainder.

1, 3, 9883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29638 and 29649. The biggest common factor number is the GCF number.
So the greatest common factor 29638 and 29649 is 1.

Also check out the Least Common Multiple of 29638 and 29649