What is the Greatest Common Factor of 29064 and 29074?

Greatest common factor (GCF) of 29064 and 29074 is 2.

GCF(29064,29074) = 2

We will now calculate the prime factors of 29064 and 29074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29064 and 29074.

How to find the GCF of 29064 and 29074?

We will first find the prime factorization of 29064 and 29074. After we will calculate the factors of 29064 and 29074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29074

Prime factors of 29074 are 2, 14537. Prime factorization of 29074 in exponential form is:

29074 = 2¹ × 14537¹

Step-3: Factors of 29064

List of positive integer factors of 29064 that divides 29064 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

Step-4: Factors of 29074

List of positive integer factors of 29074 that divides 29064 without a remainder.

1, 2, 14537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29064 and 29074. The biggest common factor number is the GCF number.
So the greatest common factor 29064 and 29074 is 2.

Also check out the Least Common Multiple of 29064 and 29074