What is the Greatest Common Factor of 82748 and 82754?

Greatest common factor (GCF) of 82748 and 82754 is 2.

GCF(82748,82754) = 2

We will now calculate the prime factors of 82748 and 82754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82748 and 82754.

How to find the GCF of 82748 and 82754?

We will first find the prime factorization of 82748 and 82754. After we will calculate the factors of 82748 and 82754 and find the biggest common factor number .

Step-1: Prime Factorization of 82748

Prime factors of 82748 are 2, 137, 151. Prime factorization of 82748 in exponential form is:

82748 = 2² × 137¹ × 151¹

Step-2: Prime Factorization of 82754

Prime factors of 82754 are 2, 7, 23, 257. Prime factorization of 82754 in exponential form is:

82754 = 2¹ × 7¹ × 23¹ × 257¹

Step-3: Factors of 82748

List of positive integer factors of 82748 that divides 82748 without a remainder.

1, 2, 4, 137, 151, 274, 302, 548, 604, 20687, 41374

Step-4: Factors of 82754

List of positive integer factors of 82754 that divides 82748 without a remainder.

1, 2, 7, 14, 23, 46, 161, 257, 322, 514, 1799, 3598, 5911, 11822, 41377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82748 and 82754. The biggest common factor number is the GCF number.
So the greatest common factor 82748 and 82754 is 2.

Also check out the Least Common Multiple of 82748 and 82754