What is the Greatest Common Factor of 29664 and 29677?

Greatest common factor (GCF) of 29664 and 29677 is 1.

GCF(29664,29677) = 1

We will now calculate the prime factors of 29664 and 29677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29664 and 29677.

How to find the GCF of 29664 and 29677?

We will first find the prime factorization of 29664 and 29677. After we will calculate the factors of 29664 and 29677 and find the biggest common factor number .

Step-1: Prime Factorization of 29664

Prime factors of 29664 are 2, 3, 103. Prime factorization of 29664 in exponential form is:

29664 = 2⁵ × 3² × 103¹

Step-2: Prime Factorization of 29677

Prime factors of 29677 are 59, 503. Prime factorization of 29677 in exponential form is:

29677 = 59¹ × 503¹

Step-3: Factors of 29664

List of positive integer factors of 29664 that divides 29664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 103, 144, 206, 288, 309, 412, 618, 824, 927, 1236, 1648, 1854, 2472, 3296, 3708, 4944, 7416, 9888, 14832

Step-4: Factors of 29677

List of positive integer factors of 29677 that divides 29664 without a remainder.

1, 59, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29664 and 29677. The biggest common factor number is the GCF number.
So the greatest common factor 29664 and 29677 is 1.

Also check out the Least Common Multiple of 29664 and 29677