What is the Greatest Common Factor of 52445 and 52462?

Greatest common factor (GCF) of 52445 and 52462 is 17.

GCF(52445,52462) = 17

We will now calculate the prime factors of 52445 and 52462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52445 and 52462.

How to find the GCF of 52445 and 52462?

We will first find the prime factorization of 52445 and 52462. After we will calculate the factors of 52445 and 52462 and find the biggest common factor number .

Step-1: Prime Factorization of 52445

Prime factors of 52445 are 5, 17, 617. Prime factorization of 52445 in exponential form is:

52445 = 5¹ × 17¹ × 617¹

Step-2: 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-3: Factors of 52445

List of positive integer factors of 52445 that divides 52445 without a remainder.

1, 5, 17, 85, 617, 3085, 10489

Step-4: Factors of 52462

List of positive integer factors of 52462 that divides 52445 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52445 and 52462. The biggest common factor number is the GCF number.
So the greatest common factor 52445 and 52462 is 17.

Also check out the Least Common Multiple of 52445 and 52462