What is the Greatest Common Factor of 55542 and 55557?

Greatest common factor (GCF) of 55542 and 55557 is 3.

GCF(55542,55557) = 3

We will now calculate the prime factors of 55542 and 55557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55542 and 55557.

How to find the GCF of 55542 and 55557?

We will first find the prime factorization of 55542 and 55557. After we will calculate the factors of 55542 and 55557 and find the biggest common factor number .

Step-1: Prime Factorization of 55542

Prime factors of 55542 are 2, 3, 9257. Prime factorization of 55542 in exponential form is:

55542 = 2¹ × 3¹ × 9257¹

Step-2: Prime Factorization of 55557

Prime factors of 55557 are 3, 6173. Prime factorization of 55557 in exponential form is:

55557 = 3² × 6173¹

Step-3: Factors of 55542

List of positive integer factors of 55542 that divides 55542 without a remainder.

1, 2, 3, 6, 9257, 18514, 27771

Step-4: Factors of 55557

List of positive integer factors of 55557 that divides 55542 without a remainder.

1, 3, 9, 6173, 18519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55542 and 55557. The biggest common factor number is the GCF number.
So the greatest common factor 55542 and 55557 is 3.

Also check out the Least Common Multiple of 55542 and 55557