What is the Greatest Common Factor of 29049 and 29064?

Greatest common factor (GCF) of 29049 and 29064 is 3.

GCF(29049,29064) = 3

We will now calculate the prime factors of 29049 and 29064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29049 and 29064.

How to find the GCF of 29049 and 29064?

We will first find the prime factorization of 29049 and 29064. After we will calculate the factors of 29049 and 29064 and find the biggest common factor number .

Step-1: Prime Factorization of 29049

Prime factors of 29049 are 3, 23, 421. Prime factorization of 29049 in exponential form is:

29049 = 3¹ × 23¹ × 421¹

Step-2: Prime Factorization of 29064

Prime factors of 29064 are 2, 3, 7, 173. Prime factorization of 29064 in exponential form is:

29064 = 2³ × 3¹ × 7¹ × 173¹

Step-3: Factors of 29049

List of positive integer factors of 29049 that divides 29049 without a remainder.

1, 3, 23, 69, 421, 1263, 9683

Step-4: Factors of 29064

List of positive integer factors of 29064 that divides 29049 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 173, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 3633, 4152, 4844, 7266, 9688, 14532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29049 and 29064. The biggest common factor number is the GCF number.
So the greatest common factor 29049 and 29064 is 3.

Also check out the Least Common Multiple of 29049 and 29064