What is the Greatest Common Factor of 55560 and 55576?

Greatest common factor (GCF) of 55560 and 55576 is 8.

GCF(55560,55576) = 8

We will now calculate the prime factors of 55560 and 55576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55560 and 55576.

How to find the GCF of 55560 and 55576?

We will first find the prime factorization of 55560 and 55576. After we will calculate the factors of 55560 and 55576 and find the biggest common factor number .

Step-1: Prime Factorization of 55560

Prime factors of 55560 are 2, 3, 5, 463. Prime factorization of 55560 in exponential form is:

55560 = 2³ × 3¹ × 5¹ × 463¹

Step-2: Prime Factorization of 55576

Prime factors of 55576 are 2, 6947. Prime factorization of 55576 in exponential form is:

55576 = 2³ × 6947¹

Step-3: Factors of 55560

List of positive integer factors of 55560 that divides 55560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 463, 926, 1389, 1852, 2315, 2778, 3704, 4630, 5556, 6945, 9260, 11112, 13890, 18520, 27780

Step-4: Factors of 55576

List of positive integer factors of 55576 that divides 55560 without a remainder.

1, 2, 4, 8, 6947, 13894, 27788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55560 and 55576. The biggest common factor number is the GCF number.
So the greatest common factor 55560 and 55576 is 8.

Also check out the Least Common Multiple of 55560 and 55576