What is the Greatest Common Factor of 55560 and 55577?

Greatest common factor (GCF) of 55560 and 55577 is 1.

GCF(55560,55577) = 1

We will now calculate the prime factors of 55560 and 55577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55560 and 55577.

How to find the GCF of 55560 and 55577?

We will first find the prime factorization of 55560 and 55577. After we will calculate the factors of 55560 and 55577 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 55577

Prime factors of 55577 are 149, 373. Prime factorization of 55577 in exponential form is:

55577 = 149¹ × 373¹

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 55577

List of positive integer factors of 55577 that divides 55560 without a remainder.

1, 149, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55560 and 55577. The biggest common factor number is the GCF number.
So the greatest common factor 55560 and 55577 is 1.

Also check out the Least Common Multiple of 55560 and 55577