What is the Greatest Common Factor of 99350 and 99356?

Greatest common factor (GCF) of 99350 and 99356 is 2.

GCF(99350,99356) = 2

We will now calculate the prime factors of 99350 and 99356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99350 and 99356.

How to find the GCF of 99350 and 99356?

We will first find the prime factorization of 99350 and 99356. After we will calculate the factors of 99350 and 99356 and find the biggest common factor number .

Step-1: Prime Factorization of 99350

Prime factors of 99350 are 2, 5, 1987. Prime factorization of 99350 in exponential form is:

99350 = 2¹ × 5² × 1987¹

Step-2: Prime Factorization of 99356

Prime factors of 99356 are 2, 59, 421. Prime factorization of 99356 in exponential form is:

99356 = 2² × 59¹ × 421¹

Step-3: Factors of 99350

List of positive integer factors of 99350 that divides 99350 without a remainder.

1, 2, 5, 10, 25, 50, 1987, 3974, 9935, 19870, 49675

Step-4: Factors of 99356

List of positive integer factors of 99356 that divides 99350 without a remainder.

1, 2, 4, 59, 118, 236, 421, 842, 1684, 24839, 49678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99350 and 99356. The biggest common factor number is the GCF number.
So the greatest common factor 99350 and 99356 is 2.

Also check out the Least Common Multiple of 99350 and 99356