What is the Greatest Common Factor of 56064 and 56080?

Greatest common factor (GCF) of 56064 and 56080 is 16.

GCF(56064,56080) = 16

We will now calculate the prime factors of 56064 and 56080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56064 and 56080.

How to find the GCF of 56064 and 56080?

We will first find the prime factorization of 56064 and 56080. After we will calculate the factors of 56064 and 56080 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 56080

Prime factors of 56080 are 2, 5, 701. Prime factorization of 56080 in exponential form is:

56080 = 2⁴ × 5¹ × 701¹

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 56080

List of positive integer factors of 56080 that divides 56064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 701, 1402, 2804, 3505, 5608, 7010, 11216, 14020, 28040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56064 and 56080. The biggest common factor number is the GCF number.
So the greatest common factor 56064 and 56080 is 16.

Also check out the Least Common Multiple of 56064 and 56080