What is the Greatest Common Factor of 52678 and 52682?

Greatest common factor (GCF) of 52678 and 52682 is 2.

GCF(52678,52682) = 2

We will now calculate the prime factors of 52678 and 52682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52678 and 52682.

How to find the GCF of 52678 and 52682?

We will first find the prime factorization of 52678 and 52682. After we will calculate the factors of 52678 and 52682 and find the biggest common factor number .

Step-1: Prime Factorization of 52678

Prime factors of 52678 are 2, 26339. Prime factorization of 52678 in exponential form is:

52678 = 2¹ × 26339¹

Step-2: Prime Factorization of 52682

Prime factors of 52682 are 2, 7, 53, 71. Prime factorization of 52682 in exponential form is:

52682 = 2¹ × 7¹ × 53¹ × 71¹

Step-3: Factors of 52678

List of positive integer factors of 52678 that divides 52678 without a remainder.

1, 2, 26339

Step-4: Factors of 52682

List of positive integer factors of 52682 that divides 52678 without a remainder.

1, 2, 7, 14, 53, 71, 106, 142, 371, 497, 742, 994, 3763, 7526, 26341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52678 and 52682. The biggest common factor number is the GCF number.
So the greatest common factor 52678 and 52682 is 2.

Also check out the Least Common Multiple of 52678 and 52682