What is the Greatest Common Factor of 51867 and 51884?

Greatest common factor (GCF) of 51867 and 51884 is 17.

GCF(51867,51884) = 17

We will now calculate the prime factors of 51867 and 51884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51867 and 51884.

How to find the GCF of 51867 and 51884?

We will first find the prime factorization of 51867 and 51884. After we will calculate the factors of 51867 and 51884 and find the biggest common factor number .

Step-1: Prime Factorization of 51867

Prime factors of 51867 are 3, 17, 113. Prime factorization of 51867 in exponential form is:

51867 = 3³ × 17¹ × 113¹

Step-2: 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-3: Factors of 51867

List of positive integer factors of 51867 that divides 51867 without a remainder.

1, 3, 9, 17, 27, 51, 113, 153, 339, 459, 1017, 1921, 3051, 5763, 17289

Step-4: Factors of 51884

List of positive integer factors of 51884 that divides 51867 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51867 and 51884. The biggest common factor number is the GCF number.
So the greatest common factor 51867 and 51884 is 17.

Also check out the Least Common Multiple of 51867 and 51884