What is the Greatest Common Factor of 56049 and 56064?

Greatest common factor (GCF) of 56049 and 56064 is 3.

GCF(56049,56064) = 3

We will now calculate the prime factors of 56049 and 56064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56049 and 56064.

How to find the GCF of 56049 and 56064?

We will first find the prime factorization of 56049 and 56064. After we will calculate the factors of 56049 and 56064 and find the biggest common factor number .

Step-1: Prime Factorization of 56049

Prime factors of 56049 are 3, 7, 17, 157. Prime factorization of 56049 in exponential form is:

56049 = 3¹ × 7¹ × 17¹ × 157¹

Step-2: 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-3: Factors of 56049

List of positive integer factors of 56049 that divides 56049 without a remainder.

1, 3, 7, 17, 21, 51, 119, 157, 357, 471, 1099, 2669, 3297, 8007, 18683

Step-4: Factors of 56064

List of positive integer factors of 56064 that divides 56049 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56049 and 56064. The biggest common factor number is the GCF number.
So the greatest common factor 56049 and 56064 is 3.

Also check out the Least Common Multiple of 56049 and 56064