What is the Greatest Common Factor of 80752 and 80762?

Greatest common factor (GCF) of 80752 and 80762 is 2.

GCF(80752,80762) = 2

We will now calculate the prime factors of 80752 and 80762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80752 and 80762.

How to find the GCF of 80752 and 80762?

We will first find the prime factorization of 80752 and 80762. After we will calculate the factors of 80752 and 80762 and find the biggest common factor number .

Step-1: Prime Factorization of 80752

Prime factors of 80752 are 2, 7, 103. Prime factorization of 80752 in exponential form is:

80752 = 2⁴ × 7² × 103¹

Step-2: Prime Factorization of 80762

Prime factors of 80762 are 2, 11, 3671. Prime factorization of 80762 in exponential form is:

80762 = 2¹ × 11¹ × 3671¹

Step-3: Factors of 80752

List of positive integer factors of 80752 that divides 80752 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 103, 112, 196, 206, 392, 412, 721, 784, 824, 1442, 1648, 2884, 5047, 5768, 10094, 11536, 20188, 40376

Step-4: Factors of 80762

List of positive integer factors of 80762 that divides 80752 without a remainder.

1, 2, 11, 22, 3671, 7342, 40381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80752 and 80762. The biggest common factor number is the GCF number.
So the greatest common factor 80752 and 80762 is 2.

Also check out the Least Common Multiple of 80752 and 80762