What is the Greatest Common Factor of 75752 and 75763?

Greatest common factor (GCF) of 75752 and 75763 is 1.

GCF(75752,75763) = 1

We will now calculate the prime factors of 75752 and 75763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75752 and 75763.

How to find the GCF of 75752 and 75763?

We will first find the prime factorization of 75752 and 75763. After we will calculate the factors of 75752 and 75763 and find the biggest common factor number .

Step-1: Prime Factorization of 75752

Prime factors of 75752 are 2, 17, 557. Prime factorization of 75752 in exponential form is:

75752 = 2³ × 17¹ × 557¹

Step-2: Prime Factorization of 75763

Prime factors of 75763 are 239, 317. Prime factorization of 75763 in exponential form is:

75763 = 239¹ × 317¹

Step-3: Factors of 75752

List of positive integer factors of 75752 that divides 75752 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 557, 1114, 2228, 4456, 9469, 18938, 37876

Step-4: Factors of 75763

List of positive integer factors of 75763 that divides 75752 without a remainder.

1, 239, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75752 and 75763. The biggest common factor number is the GCF number.
So the greatest common factor 75752 and 75763 is 1.

Also check out the Least Common Multiple of 75752 and 75763