What is the Greatest Common Factor of 56560 and 56574?

Greatest common factor (GCF) of 56560 and 56574 is 14.

GCF(56560,56574) = 14

We will now calculate the prime factors of 56560 and 56574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56560 and 56574.

How to find the GCF of 56560 and 56574?

We will first find the prime factorization of 56560 and 56574. After we will calculate the factors of 56560 and 56574 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 56574

Prime factors of 56574 are 2, 3, 7, 449. Prime factorization of 56574 in exponential form is:

56574 = 2¹ × 3² × 7¹ × 449¹

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 56574

List of positive integer factors of 56574 that divides 56560 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 449, 898, 1347, 2694, 3143, 4041, 6286, 8082, 9429, 18858, 28287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56560 and 56574. The biggest common factor number is the GCF number.
So the greatest common factor 56560 and 56574 is 14.

Also check out the Least Common Multiple of 56560 and 56574