What is the Greatest Common Factor of 57540 and 57547?

Greatest common factor (GCF) of 57540 and 57547 is 7.

GCF(57540,57547) = 7

We will now calculate the prime factors of 57540 and 57547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57540 and 57547.

How to find the GCF of 57540 and 57547?

We will first find the prime factorization of 57540 and 57547. After we will calculate the factors of 57540 and 57547 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 57547

Prime factors of 57547 are 7, 8221. Prime factorization of 57547 in exponential form is:

57547 = 7¹ × 8221¹

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 57547

List of positive integer factors of 57547 that divides 57540 without a remainder.

1, 7, 8221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57540 and 57547. The biggest common factor number is the GCF number.
So the greatest common factor 57540 and 57547 is 7.

Also check out the Least Common Multiple of 57540 and 57547