What is the Greatest Common Factor of 99764 and 99782?

Greatest common factor (GCF) of 99764 and 99782 is 2.

GCF(99764,99782) = 2

We will now calculate the prime factors of 99764 and 99782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99764 and 99782.

How to find the GCF of 99764 and 99782?

We will first find the prime factorization of 99764 and 99782. After we will calculate the factors of 99764 and 99782 and find the biggest common factor number .

Step-1: Prime Factorization of 99764

Prime factors of 99764 are 2, 7, 509. Prime factorization of 99764 in exponential form is:

99764 = 2² × 7² × 509¹

Step-2: Prime Factorization of 99782

Prime factors of 99782 are 2, 49891. Prime factorization of 99782 in exponential form is:

99782 = 2¹ × 49891¹

Step-3: Factors of 99764

List of positive integer factors of 99764 that divides 99764 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 509, 1018, 2036, 3563, 7126, 14252, 24941, 49882

Step-4: Factors of 99782

List of positive integer factors of 99782 that divides 99764 without a remainder.

1, 2, 49891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99764 and 99782. The biggest common factor number is the GCF number.
So the greatest common factor 99764 and 99782 is 2.

Also check out the Least Common Multiple of 99764 and 99782