What is the Greatest Common Factor of 51522 and 51540?

Greatest common factor (GCF) of 51522 and 51540 is 6.

GCF(51522,51540) = 6

We will now calculate the prime factors of 51522 and 51540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51522 and 51540.

How to find the GCF of 51522 and 51540?

We will first find the prime factorization of 51522 and 51540. After we will calculate the factors of 51522 and 51540 and find the biggest common factor number .

Step-1: Prime Factorization of 51522

Prime factors of 51522 are 2, 3, 31, 277. Prime factorization of 51522 in exponential form is:

51522 = 2¹ × 3¹ × 31¹ × 277¹

Step-2: Prime Factorization of 51540

Prime factors of 51540 are 2, 3, 5, 859. Prime factorization of 51540 in exponential form is:

51540 = 2² × 3¹ × 5¹ × 859¹

Step-3: Factors of 51522

List of positive integer factors of 51522 that divides 51522 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 277, 554, 831, 1662, 8587, 17174, 25761

Step-4: Factors of 51540

List of positive integer factors of 51540 that divides 51522 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 859, 1718, 2577, 3436, 4295, 5154, 8590, 10308, 12885, 17180, 25770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51522 and 51540. The biggest common factor number is the GCF number.
So the greatest common factor 51522 and 51540 is 6.

Also check out the Least Common Multiple of 51522 and 51540