What is the Greatest Common Factor of 56540 and 56552?

Greatest common factor (GCF) of 56540 and 56552 is 4.

GCF(56540,56552) = 4

We will now calculate the prime factors of 56540 and 56552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56540 and 56552.

How to find the GCF of 56540 and 56552?

We will first find the prime factorization of 56540 and 56552. After we will calculate the factors of 56540 and 56552 and find the biggest common factor number .

Step-1: Prime Factorization of 56540

Prime factors of 56540 are 2, 5, 11, 257. Prime factorization of 56540 in exponential form is:

56540 = 2² × 5¹ × 11¹ × 257¹

Step-2: Prime Factorization of 56552

Prime factors of 56552 are 2, 7069. Prime factorization of 56552 in exponential form is:

56552 = 2³ × 7069¹

Step-3: Factors of 56540

List of positive integer factors of 56540 that divides 56540 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 257, 514, 1028, 1285, 2570, 2827, 5140, 5654, 11308, 14135, 28270

Step-4: Factors of 56552

List of positive integer factors of 56552 that divides 56540 without a remainder.

1, 2, 4, 8, 7069, 14138, 28276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56540 and 56552. The biggest common factor number is the GCF number.
So the greatest common factor 56540 and 56552 is 4.

Also check out the Least Common Multiple of 56540 and 56552