What is the Greatest Common Factor of 51884 and 51901?

Greatest common factor (GCF) of 51884 and 51901 is 17.

GCF(51884,51901) = 17

We will now calculate the prime factors of 51884 and 51901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51884 and 51901.

How to find the GCF of 51884 and 51901?

We will first find the prime factorization of 51884 and 51901. After we will calculate the factors of 51884 and 51901 and find the biggest common factor number .

Step-1: Prime Factorization of 51884

Prime factors of 51884 are 2, 7, 17, 109. Prime factorization of 51884 in exponential form is:

51884 = 2² × 7¹ × 17¹ × 109¹

Step-2: Prime Factorization of 51901

Prime factors of 51901 are 17, 43, 71. Prime factorization of 51901 in exponential form is:

51901 = 17¹ × 43¹ × 71¹

Step-3: Factors of 51884

List of positive integer factors of 51884 that divides 51884 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 109, 119, 218, 238, 436, 476, 763, 1526, 1853, 3052, 3706, 7412, 12971, 25942

Step-4: Factors of 51901

List of positive integer factors of 51901 that divides 51884 without a remainder.

1, 17, 43, 71, 731, 1207, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51884 and 51901. The biggest common factor number is the GCF number.
So the greatest common factor 51884 and 51901 is 17.

Also check out the Least Common Multiple of 51884 and 51901