What is the Greatest Common Factor of 56048 and 56064?

Greatest common factor (GCF) of 56048 and 56064 is 16.

GCF(56048,56064) = 16

We will now calculate the prime factors of 56048 and 56064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56048 and 56064.

How to find the GCF of 56048 and 56064?

We will first find the prime factorization of 56048 and 56064. After we will calculate the factors of 56048 and 56064 and find the biggest common factor number .

Step-1: Prime Factorization of 56048

Prime factors of 56048 are 2, 31, 113. Prime factorization of 56048 in exponential form is:

56048 = 2⁴ × 31¹ × 113¹

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 56048

List of positive integer factors of 56048 that divides 56048 without a remainder.

1, 2, 4, 8, 16, 31, 62, 113, 124, 226, 248, 452, 496, 904, 1808, 3503, 7006, 14012, 28024

Step-4: Factors of 56064

List of positive integer factors of 56064 that divides 56048 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 56048 and 56064. The biggest common factor number is the GCF number.
So the greatest common factor 56048 and 56064 is 16.

Also check out the Least Common Multiple of 56048 and 56064