What is the Greatest Common Factor of 56064 and 56068?

Greatest common factor (GCF) of 56064 and 56068 is 4.

GCF(56064,56068) = 4

We will now calculate the prime factors of 56064 and 56068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56064 and 56068.

How to find the GCF of 56064 and 56068?

We will first find the prime factorization of 56064 and 56068. After we will calculate the factors of 56064 and 56068 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 56068

Prime factors of 56068 are 2, 107, 131. Prime factorization of 56068 in exponential form is:

56068 = 2² × 107¹ × 131¹

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 56068

List of positive integer factors of 56068 that divides 56064 without a remainder.

1, 2, 4, 107, 131, 214, 262, 428, 524, 14017, 28034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56064 and 56068. The biggest common factor number is the GCF number.
So the greatest common factor 56064 and 56068 is 4.

Also check out the Least Common Multiple of 56064 and 56068