What is the Greatest Common Factor of 99752 and 99763?

Greatest common factor (GCF) of 99752 and 99763 is 1.

GCF(99752,99763) = 1

We will now calculate the prime factors of 99752 and 99763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99752 and 99763.

How to find the GCF of 99752 and 99763?

We will first find the prime factorization of 99752 and 99763. After we will calculate the factors of 99752 and 99763 and find the biggest common factor number .

Step-1: Prime Factorization of 99752

Prime factors of 99752 are 2, 37, 337. Prime factorization of 99752 in exponential form is:

99752 = 2³ × 37¹ × 337¹

Step-2: Prime Factorization of 99763

Prime factors of 99763 are 67, 1489. Prime factorization of 99763 in exponential form is:

99763 = 67¹ × 1489¹

Step-3: Factors of 99752

List of positive integer factors of 99752 that divides 99752 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 337, 674, 1348, 2696, 12469, 24938, 49876

Step-4: Factors of 99763

List of positive integer factors of 99763 that divides 99752 without a remainder.

1, 67, 1489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99752 and 99763. The biggest common factor number is the GCF number.
So the greatest common factor 99752 and 99763 is 1.

Also check out the Least Common Multiple of 99752 and 99763