What is the Greatest Common Factor of 56064 and 56070?

Greatest common factor (GCF) of 56064 and 56070 is 6.

GCF(56064,56070) = 6

We will now calculate the prime factors of 56064 and 56070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56064 and 56070.

How to find the GCF of 56064 and 56070?

We will first find the prime factorization of 56064 and 56070. After we will calculate the factors of 56064 and 56070 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 56070

Prime factors of 56070 are 2, 3, 5, 7, 89. Prime factorization of 56070 in exponential form is:

56070 = 2¹ × 3² × 5¹ × 7¹ × 89¹

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 56070

List of positive integer factors of 56070 that divides 56064 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 89, 90, 105, 126, 178, 210, 267, 315, 445, 534, 623, 630, 801, 890, 1246, 1335, 1602, 1869, 2670, 3115, 3738, 4005, 5607, 6230, 8010, 9345, 11214, 18690, 28035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56064 and 56070. The biggest common factor number is the GCF number.
So the greatest common factor 56064 and 56070 is 6.

Also check out the Least Common Multiple of 56064 and 56070