What is the Greatest Common Factor of 51208 and 51216?

Greatest common factor (GCF) of 51208 and 51216 is 8.

GCF(51208,51216) = 8

We will now calculate the prime factors of 51208 and 51216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51208 and 51216.

How to find the GCF of 51208 and 51216?

We will first find the prime factorization of 51208 and 51216. After we will calculate the factors of 51208 and 51216 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 51216

Prime factors of 51216 are 2, 3, 11, 97. Prime factorization of 51216 in exponential form is:

51216 = 2⁴ × 3¹ × 11¹ × 97¹

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 51216

List of positive integer factors of 51216 that divides 51208 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 97, 132, 176, 194, 264, 291, 388, 528, 582, 776, 1067, 1164, 1552, 2134, 2328, 3201, 4268, 4656, 6402, 8536, 12804, 17072, 25608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51208 and 51216. The biggest common factor number is the GCF number.
So the greatest common factor 51208 and 51216 is 8.

Also check out the Least Common Multiple of 51208 and 51216