What is the Greatest Common Factor of 57540 and 57554?

Greatest common factor (GCF) of 57540 and 57554 is 14.

GCF(57540,57554) = 14

We will now calculate the prime factors of 57540 and 57554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57540 and 57554.

How to find the GCF of 57540 and 57554?

We will first find the prime factorization of 57540 and 57554. After we will calculate the factors of 57540 and 57554 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 57554

Prime factors of 57554 are 2, 7, 4111. Prime factorization of 57554 in exponential form is:

57554 = 2¹ × 7¹ × 4111¹

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 57554

List of positive integer factors of 57554 that divides 57540 without a remainder.

1, 2, 7, 14, 4111, 8222, 28777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57540 and 57554. The biggest common factor number is the GCF number.
So the greatest common factor 57540 and 57554 is 14.

Also check out the Least Common Multiple of 57540 and 57554