What is the Greatest Common Factor of 99772 and 99790?

Greatest common factor (GCF) of 99772 and 99790 is 2.

GCF(99772,99790) = 2

We will now calculate the prime factors of 99772 and 99790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99772 and 99790.

How to find the GCF of 99772 and 99790?

We will first find the prime factorization of 99772 and 99790. After we will calculate the factors of 99772 and 99790 and find the biggest common factor number .

Step-1: Prime Factorization of 99772

Prime factors of 99772 are 2, 24943. Prime factorization of 99772 in exponential form is:

99772 = 2² × 24943¹

Step-2: Prime Factorization of 99790

Prime factors of 99790 are 2, 5, 17, 587. Prime factorization of 99790 in exponential form is:

99790 = 2¹ × 5¹ × 17¹ × 587¹

Step-3: Factors of 99772

List of positive integer factors of 99772 that divides 99772 without a remainder.

1, 2, 4, 24943, 49886

Step-4: Factors of 99790

List of positive integer factors of 99790 that divides 99772 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 587, 1174, 2935, 5870, 9979, 19958, 49895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99772 and 99790. The biggest common factor number is the GCF number.
So the greatest common factor 99772 and 99790 is 2.

Also check out the Least Common Multiple of 99772 and 99790