What is the Greatest Common Factor of 56560 and 56576?

Greatest common factor (GCF) of 56560 and 56576 is 16.

GCF(56560,56576) = 16

We will now calculate the prime factors of 56560 and 56576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56560 and 56576.

How to find the GCF of 56560 and 56576?

We will first find the prime factorization of 56560 and 56576. After we will calculate the factors of 56560 and 56576 and find the biggest common factor number .

Step-1: Prime Factorization of 56560

Prime factors of 56560 are 2, 5, 7, 101. Prime factorization of 56560 in exponential form is:

56560 = 2⁴ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 56576

Prime factors of 56576 are 2, 13, 17. Prime factorization of 56576 in exponential form is:

56576 = 2⁸ × 13¹ × 17¹

Step-3: Factors of 56560

List of positive integer factors of 56560 that divides 56560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 101, 112, 140, 202, 280, 404, 505, 560, 707, 808, 1010, 1414, 1616, 2020, 2828, 3535, 4040, 5656, 7070, 8080, 11312, 14140, 28280

Step-4: Factors of 56576

List of positive integer factors of 56576 that divides 56560 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 128, 136, 208, 221, 256, 272, 416, 442, 544, 832, 884, 1088, 1664, 1768, 2176, 3328, 3536, 4352, 7072, 14144, 28288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56560 and 56576. The biggest common factor number is the GCF number.
So the greatest common factor 56560 and 56576 is 16.

Also check out the Least Common Multiple of 56560 and 56576