What is the Greatest Common Factor of 82748 and 82762?

Greatest common factor (GCF) of 82748 and 82762 is 2.

GCF(82748,82762) = 2

We will now calculate the prime factors of 82748 and 82762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82748 and 82762.

How to find the GCF of 82748 and 82762?

We will first find the prime factorization of 82748 and 82762. After we will calculate the factors of 82748 and 82762 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 82762

Prime factors of 82762 are 2, 41381. Prime factorization of 82762 in exponential form is:

82762 = 2¹ × 41381¹

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 82762

List of positive integer factors of 82762 that divides 82748 without a remainder.

1, 2, 41381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82748 and 82762. The biggest common factor number is the GCF number.
So the greatest common factor 82748 and 82762 is 2.

Also check out the Least Common Multiple of 82748 and 82762