What is the Greatest Common Factor of 60546 and 60556?

Greatest common factor (GCF) of 60546 and 60556 is 2.

GCF(60546,60556) = 2

We will now calculate the prime factors of 60546 and 60556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60546 and 60556.

How to find the GCF of 60546 and 60556?

We will first find the prime factorization of 60546 and 60556. After we will calculate the factors of 60546 and 60556 and find the biggest common factor number .

Step-1: Prime Factorization of 60546

Prime factors of 60546 are 2, 3, 10091. Prime factorization of 60546 in exponential form is:

60546 = 2¹ × 3¹ × 10091¹

Step-2: Prime Factorization of 60556

Prime factors of 60556 are 2, 15139. Prime factorization of 60556 in exponential form is:

60556 = 2² × 15139¹

Step-3: Factors of 60546

List of positive integer factors of 60546 that divides 60546 without a remainder.

1, 2, 3, 6, 10091, 20182, 30273

Step-4: Factors of 60556

List of positive integer factors of 60556 that divides 60546 without a remainder.

1, 2, 4, 15139, 30278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60546 and 60556. The biggest common factor number is the GCF number.
So the greatest common factor 60546 and 60556 is 2.

Also check out the Least Common Multiple of 60546 and 60556