What is the Greatest Common Factor of 52479 and 52497?

Greatest common factor (GCF) of 52479 and 52497 is 9.

GCF(52479,52497) = 9

We will now calculate the prime factors of 52479 and 52497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52479 and 52497.

How to find the GCF of 52479 and 52497?

We will first find the prime factorization of 52479 and 52497. After we will calculate the factors of 52479 and 52497 and find the biggest common factor number .

Step-1: Prime Factorization of 52479

Prime factors of 52479 are 3, 7, 17. Prime factorization of 52479 in exponential form is:

52479 = 3² × 7³ × 17¹

Step-2: Prime Factorization of 52497

Prime factors of 52497 are 3, 19, 307. Prime factorization of 52497 in exponential form is:

52497 = 3² × 19¹ × 307¹

Step-3: Factors of 52479

List of positive integer factors of 52479 that divides 52479 without a remainder.

1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 343, 357, 441, 833, 1029, 1071, 2499, 3087, 5831, 7497, 17493

Step-4: Factors of 52497

List of positive integer factors of 52497 that divides 52479 without a remainder.

1, 3, 9, 19, 57, 171, 307, 921, 2763, 5833, 17499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52479 and 52497. The biggest common factor number is the GCF number.
So the greatest common factor 52479 and 52497 is 9.

Also check out the Least Common Multiple of 52479 and 52497