What is the Greatest Common Factor of 29648 and 29667?

Greatest common factor (GCF) of 29648 and 29667 is 1.

GCF(29648,29667) = 1

We will now calculate the prime factors of 29648 and 29667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29648 and 29667.

How to find the GCF of 29648 and 29667?

We will first find the prime factorization of 29648 and 29667. After we will calculate the factors of 29648 and 29667 and find the biggest common factor number .

Step-1: Prime Factorization of 29648

Prime factors of 29648 are 2, 17, 109. Prime factorization of 29648 in exponential form is:

29648 = 2⁴ × 17¹ × 109¹

Step-2: Prime Factorization of 29667

Prime factors of 29667 are 3, 11, 29, 31. Prime factorization of 29667 in exponential form is:

29667 = 3¹ × 11¹ × 29¹ × 31¹

Step-3: Factors of 29648

List of positive integer factors of 29648 that divides 29648 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 109, 136, 218, 272, 436, 872, 1744, 1853, 3706, 7412, 14824

Step-4: Factors of 29667

List of positive integer factors of 29667 that divides 29648 without a remainder.

1, 3, 11, 29, 31, 33, 87, 93, 319, 341, 899, 957, 1023, 2697, 9889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29648 and 29667. The biggest common factor number is the GCF number.
So the greatest common factor 29648 and 29667 is 1.

Also check out the Least Common Multiple of 29648 and 29667