What is the Greatest Common Factor of 51471 and 51489?

Greatest common factor (GCF) of 51471 and 51489 is 9.

GCF(51471,51489) = 9

We will now calculate the prime factors of 51471 and 51489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51471 and 51489.

How to find the GCF of 51471 and 51489?

We will first find the prime factorization of 51471 and 51489. After we will calculate the factors of 51471 and 51489 and find the biggest common factor number .

Step-1: Prime Factorization of 51471

Prime factors of 51471 are 3, 7, 19, 43. Prime factorization of 51471 in exponential form is:

51471 = 3² × 7¹ × 19¹ × 43¹

Step-2: Prime Factorization of 51489

Prime factors of 51489 are 3, 1907. Prime factorization of 51489 in exponential form is:

51489 = 3³ × 1907¹

Step-3: Factors of 51471

List of positive integer factors of 51471 that divides 51471 without a remainder.

1, 3, 7, 9, 19, 21, 43, 57, 63, 129, 133, 171, 301, 387, 399, 817, 903, 1197, 2451, 2709, 5719, 7353, 17157

Step-4: Factors of 51489

List of positive integer factors of 51489 that divides 51471 without a remainder.

1, 3, 9, 27, 1907, 5721, 17163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51471 and 51489. The biggest common factor number is the GCF number.
So the greatest common factor 51471 and 51489 is 9.

Also check out the Least Common Multiple of 51471 and 51489