What is the Greatest Common Factor of 99748 and 99764?

Greatest common factor (GCF) of 99748 and 99764 is 4.

GCF(99748,99764) = 4

We will now calculate the prime factors of 99748 and 99764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99748 and 99764.

How to find the GCF of 99748 and 99764?

We will first find the prime factorization of 99748 and 99764. After we will calculate the factors of 99748 and 99764 and find the biggest common factor number .

Step-1: Prime Factorization of 99748

Prime factors of 99748 are 2, 11, 2267. Prime factorization of 99748 in exponential form is:

99748 = 2² × 11¹ × 2267¹

Step-2: 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-3: Factors of 99748

List of positive integer factors of 99748 that divides 99748 without a remainder.

1, 2, 4, 11, 22, 44, 2267, 4534, 9068, 24937, 49874

Step-4: Factors of 99764

List of positive integer factors of 99764 that divides 99748 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99748 and 99764. The biggest common factor number is the GCF number.
So the greatest common factor 99748 and 99764 is 4.

Also check out the Least Common Multiple of 99748 and 99764