What is the Greatest Common Factor of 51590 and 51597?

Greatest common factor (GCF) of 51590 and 51597 is 7.

GCF(51590,51597) = 7

We will now calculate the prime factors of 51590 and 51597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51590 and 51597.

How to find the GCF of 51590 and 51597?

We will first find the prime factorization of 51590 and 51597. After we will calculate the factors of 51590 and 51597 and find the biggest common factor number .

Step-1: Prime Factorization of 51590

Prime factors of 51590 are 2, 5, 7, 11, 67. Prime factorization of 51590 in exponential form is:

51590 = 2¹ × 5¹ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 51597

Prime factors of 51597 are 3, 7, 13. Prime factorization of 51597 in exponential form is:

51597 = 3⁴ × 7² × 13¹

Step-3: Factors of 51590

List of positive integer factors of 51590 that divides 51590 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 67, 70, 77, 110, 134, 154, 335, 385, 469, 670, 737, 770, 938, 1474, 2345, 3685, 4690, 5159, 7370, 10318, 25795

Step-4: Factors of 51597

List of positive integer factors of 51597 that divides 51590 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 49, 63, 81, 91, 117, 147, 189, 273, 351, 441, 567, 637, 819, 1053, 1323, 1911, 2457, 3969, 5733, 7371, 17199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51590 and 51597. The biggest common factor number is the GCF number.
So the greatest common factor 51590 and 51597 is 7.

Also check out the Least Common Multiple of 51590 and 51597