What is the Greatest Common Factor of 99652 and 99668?

Greatest common factor (GCF) of 99652 and 99668 is 4.

GCF(99652,99668) = 4

We will now calculate the prime factors of 99652 and 99668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99652 and 99668.

How to find the GCF of 99652 and 99668?

We will first find the prime factorization of 99652 and 99668. After we will calculate the factors of 99652 and 99668 and find the biggest common factor number .

Step-1: Prime Factorization of 99652

Prime factors of 99652 are 2, 7, 3559. Prime factorization of 99652 in exponential form is:

99652 = 2² × 7¹ × 3559¹

Step-2: Prime Factorization of 99668

Prime factors of 99668 are 2, 24917. Prime factorization of 99668 in exponential form is:

99668 = 2² × 24917¹

Step-3: Factors of 99652

List of positive integer factors of 99652 that divides 99652 without a remainder.

1, 2, 4, 7, 14, 28, 3559, 7118, 14236, 24913, 49826

Step-4: Factors of 99668

List of positive integer factors of 99668 that divides 99652 without a remainder.

1, 2, 4, 24917, 49834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99652 and 99668. The biggest common factor number is the GCF number.
So the greatest common factor 99652 and 99668 is 4.

Also check out the Least Common Multiple of 99652 and 99668