What is the Greatest Common Factor of 56064 and 56076?

Greatest common factor (GCF) of 56064 and 56076 is 12.

GCF(56064,56076) = 12

We will now calculate the prime factors of 56064 and 56076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56064 and 56076.

How to find the GCF of 56064 and 56076?

We will first find the prime factorization of 56064 and 56076. After we will calculate the factors of 56064 and 56076 and find the biggest common factor number .

Step-1: Prime Factorization of 56064

Prime factors of 56064 are 2, 3, 73. Prime factorization of 56064 in exponential form is:

56064 = 2⁸ × 3¹ × 73¹

Step-2: Prime Factorization of 56076

Prime factors of 56076 are 2, 3, 4673. Prime factorization of 56076 in exponential form is:

56076 = 2² × 3¹ × 4673¹

Step-3: Factors of 56064

List of positive integer factors of 56064 that divides 56064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 128, 146, 192, 219, 256, 292, 384, 438, 584, 768, 876, 1168, 1752, 2336, 3504, 4672, 7008, 9344, 14016, 18688, 28032

Step-4: Factors of 56076

List of positive integer factors of 56076 that divides 56064 without a remainder.

1, 2, 3, 4, 6, 12, 4673, 9346, 14019, 18692, 28038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56064 and 56076. The biggest common factor number is the GCF number.
So the greatest common factor 56064 and 56076 is 12.

Also check out the Least Common Multiple of 56064 and 56076