What is the Greatest Common Factor of 52462 and 52479?

Greatest common factor (GCF) of 52462 and 52479 is 17.

GCF(52462,52479) = 17

We will now calculate the prime factors of 52462 and 52479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52462 and 52479.

How to find the GCF of 52462 and 52479?

We will first find the prime factorization of 52462 and 52479. After we will calculate the factors of 52462 and 52479 and find the biggest common factor number .

Step-1: Prime Factorization of 52462

Prime factors of 52462 are 2, 17, 1543. Prime factorization of 52462 in exponential form is:

52462 = 2¹ × 17¹ × 1543¹

Step-2: 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-3: Factors of 52462

List of positive integer factors of 52462 that divides 52462 without a remainder.

1, 2, 17, 34, 1543, 3086, 26231

Step-4: Factors of 52479

List of positive integer factors of 52479 that divides 52462 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52462 and 52479. The biggest common factor number is the GCF number.
So the greatest common factor 52462 and 52479 is 17.

Also check out the Least Common Multiple of 52462 and 52479