What is the Greatest Common Factor of 51208 and 51222?

Greatest common factor (GCF) of 51208 and 51222 is 2.

GCF(51208,51222) = 2

We will now calculate the prime factors of 51208 and 51222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51208 and 51222.

How to find the GCF of 51208 and 51222?

We will first find the prime factorization of 51208 and 51222. After we will calculate the factors of 51208 and 51222 and find the biggest common factor number .

Step-1: Prime Factorization of 51208

Prime factors of 51208 are 2, 37, 173. Prime factorization of 51208 in exponential form is:

51208 = 2³ × 37¹ × 173¹

Step-2: Prime Factorization of 51222

Prime factors of 51222 are 2, 3, 8537. Prime factorization of 51222 in exponential form is:

51222 = 2¹ × 3¹ × 8537¹

Step-3: Factors of 51208

List of positive integer factors of 51208 that divides 51208 without a remainder.

1, 2, 4, 8, 37, 74, 148, 173, 296, 346, 692, 1384, 6401, 12802, 25604

Step-4: Factors of 51222

List of positive integer factors of 51222 that divides 51208 without a remainder.

1, 2, 3, 6, 8537, 17074, 25611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51208 and 51222. The biggest common factor number is the GCF number.
So the greatest common factor 51208 and 51222 is 2.

Also check out the Least Common Multiple of 51208 and 51222