What is the Greatest Common Factor of 74064 and 74076?

Greatest common factor (GCF) of 74064 and 74076 is 12.

GCF(74064,74076) = 12

We will now calculate the prime factors of 74064 and 74076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74064 and 74076.

How to find the GCF of 74064 and 74076?

We will first find the prime factorization of 74064 and 74076. After we will calculate the factors of 74064 and 74076 and find the biggest common factor number .

Step-1: Prime Factorization of 74064

Prime factors of 74064 are 2, 3, 1543. Prime factorization of 74064 in exponential form is:

74064 = 2⁴ × 3¹ × 1543¹

Step-2: Prime Factorization of 74076

Prime factors of 74076 are 2, 3, 6173. Prime factorization of 74076 in exponential form is:

74076 = 2² × 3¹ × 6173¹

Step-3: Factors of 74064

List of positive integer factors of 74064 that divides 74064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1543, 3086, 4629, 6172, 9258, 12344, 18516, 24688, 37032

Step-4: Factors of 74076

List of positive integer factors of 74076 that divides 74064 without a remainder.

1, 2, 3, 4, 6, 12, 6173, 12346, 18519, 24692, 37038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74064 and 74076. The biggest common factor number is the GCF number.
So the greatest common factor 74064 and 74076 is 12.

Also check out the Least Common Multiple of 74064 and 74076