What is the Greatest Common Factor of 52450 and 52462?

Greatest common factor (GCF) of 52450 and 52462 is 2.

GCF(52450,52462) = 2

We will now calculate the prime factors of 52450 and 52462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52450 and 52462.

How to find the GCF of 52450 and 52462?

We will first find the prime factorization of 52450 and 52462. After we will calculate the factors of 52450 and 52462 and find the biggest common factor number .

Step-1: Prime Factorization of 52450

Prime factors of 52450 are 2, 5, 1049. Prime factorization of 52450 in exponential form is:

52450 = 2¹ × 5² × 1049¹

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 52450

List of positive integer factors of 52450 that divides 52450 without a remainder.

1, 2, 5, 10, 25, 50, 1049, 2098, 5245, 10490, 26225

Step-4: Factors of 52462

List of positive integer factors of 52462 that divides 52450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52450 and 52462. The biggest common factor number is the GCF number.
So the greatest common factor 52450 and 52462 is 2.

Also check out the Least Common Multiple of 52450 and 52462