What is the Greatest Common Factor of 55771 and 55780?

Greatest common factor (GCF) of 55771 and 55780 is 1.

GCF(55771,55780) = 1

We will now calculate the prime factors of 55771 and 55780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55771 and 55780.

How to find the GCF of 55771 and 55780?

We will first find the prime factorization of 55771 and 55780. After we will calculate the factors of 55771 and 55780 and find the biggest common factor number .

Step-1: Prime Factorization of 55771

Prime factors of 55771 are 43, 1297. Prime factorization of 55771 in exponential form is:

55771 = 43¹ × 1297¹

Step-2: Prime Factorization of 55780

Prime factors of 55780 are 2, 5, 2789. Prime factorization of 55780 in exponential form is:

55780 = 2² × 5¹ × 2789¹

Step-3: Factors of 55771

List of positive integer factors of 55771 that divides 55771 without a remainder.

1, 43, 1297

Step-4: Factors of 55780

List of positive integer factors of 55780 that divides 55771 without a remainder.

1, 2, 4, 5, 10, 20, 2789, 5578, 11156, 13945, 27890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55771 and 55780. The biggest common factor number is the GCF number.
So the greatest common factor 55771 and 55780 is 1.

Also check out the Least Common Multiple of 55771 and 55780