What is the Greatest Common Factor of 51506 and 51522?

Greatest common factor (GCF) of 51506 and 51522 is 2.

GCF(51506,51522) = 2

We will now calculate the prime factors of 51506 and 51522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51506 and 51522.

How to find the GCF of 51506 and 51522?

We will first find the prime factorization of 51506 and 51522. After we will calculate the factors of 51506 and 51522 and find the biggest common factor number .

Step-1: Prime Factorization of 51506

Prime factors of 51506 are 2, 7, 13, 283. Prime factorization of 51506 in exponential form is:

51506 = 2¹ × 7¹ × 13¹ × 283¹

Step-2: 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-3: Factors of 51506

List of positive integer factors of 51506 that divides 51506 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 283, 566, 1981, 3679, 3962, 7358, 25753

Step-4: Factors of 51522

List of positive integer factors of 51522 that divides 51506 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51506 and 51522. The biggest common factor number is the GCF number.
So the greatest common factor 51506 and 51522 is 2.

Also check out the Least Common Multiple of 51506 and 51522