What is the Greatest Common Factor of 57536 and 57540?

Greatest common factor (GCF) of 57536 and 57540 is 4.

GCF(57536,57540) = 4

We will now calculate the prime factors of 57536 and 57540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57536 and 57540.

How to find the GCF of 57536 and 57540?

We will first find the prime factorization of 57536 and 57540. After we will calculate the factors of 57536 and 57540 and find the biggest common factor number .

Step-1: Prime Factorization of 57536

Prime factors of 57536 are 2, 29, 31. Prime factorization of 57536 in exponential form is:

57536 = 2⁶ × 29¹ × 31¹

Step-2: 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-3: Factors of 57536

List of positive integer factors of 57536 that divides 57536 without a remainder.

1, 2, 4, 8, 16, 29, 31, 32, 58, 62, 64, 116, 124, 232, 248, 464, 496, 899, 928, 992, 1798, 1856, 1984, 3596, 7192, 14384, 28768

Step-4: Factors of 57540

List of positive integer factors of 57540 that divides 57536 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57536 and 57540. The biggest common factor number is the GCF number.
So the greatest common factor 57536 and 57540 is 4.

Also check out the Least Common Multiple of 57536 and 57540