What is the Greatest Common Factor of 65752 and 65770?

Greatest common factor (GCF) of 65752 and 65770 is 2.

GCF(65752,65770) = 2

We will now calculate the prime factors of 65752 and 65770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65752 and 65770.

How to find the GCF of 65752 and 65770?

We will first find the prime factorization of 65752 and 65770. After we will calculate the factors of 65752 and 65770 and find the biggest common factor number .

Step-1: Prime Factorization of 65752

Prime factors of 65752 are 2, 8219. Prime factorization of 65752 in exponential form is:

65752 = 2³ × 8219¹

Step-2: Prime Factorization of 65770

Prime factors of 65770 are 2, 5, 6577. Prime factorization of 65770 in exponential form is:

65770 = 2¹ × 5¹ × 6577¹

Step-3: Factors of 65752

List of positive integer factors of 65752 that divides 65752 without a remainder.

1, 2, 4, 8, 8219, 16438, 32876

Step-4: Factors of 65770

List of positive integer factors of 65770 that divides 65752 without a remainder.

1, 2, 5, 10, 6577, 13154, 32885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65752 and 65770. The biggest common factor number is the GCF number.
So the greatest common factor 65752 and 65770 is 2.

Also check out the Least Common Multiple of 65752 and 65770