What is the Greatest Common Factor of 57540 and 57549?

Greatest common factor (GCF) of 57540 and 57549 is 3.

GCF(57540,57549) = 3

We will now calculate the prime factors of 57540 and 57549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57540 and 57549.

How to find the GCF of 57540 and 57549?

We will first find the prime factorization of 57540 and 57549. After we will calculate the factors of 57540 and 57549 and find the biggest common factor number .

Step-1: Prime Factorization of 57540

Prime factors of 57540 are 2, 3, 5, 7, 137. Prime factorization of 57540 in exponential form is:

57540 = 2² × 3¹ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 57549

Prime factors of 57549 are 3, 19183. Prime factorization of 57549 in exponential form is:

57549 = 3¹ × 19183¹

Step-3: Factors of 57540

List of positive integer factors of 57540 that divides 57540 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 137, 140, 210, 274, 411, 420, 548, 685, 822, 959, 1370, 1644, 1918, 2055, 2740, 2877, 3836, 4110, 4795, 5754, 8220, 9590, 11508, 14385, 19180, 28770

Step-4: Factors of 57549

List of positive integer factors of 57549 that divides 57540 without a remainder.

1, 3, 19183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57540 and 57549. The biggest common factor number is the GCF number.
So the greatest common factor 57540 and 57549 is 3.

Also check out the Least Common Multiple of 57540 and 57549