What is the Greatest Common Factor of 99242 and 99252?

Greatest common factor (GCF) of 99242 and 99252 is 2.

GCF(99242,99252) = 2

We will now calculate the prime factors of 99242 and 99252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99242 and 99252.

How to find the GCF of 99242 and 99252?

We will first find the prime factorization of 99242 and 99252. After we will calculate the factors of 99242 and 99252 and find the biggest common factor number .

Step-1: Prime Factorization of 99242

Prime factors of 99242 are 2, 11, 13, 347. Prime factorization of 99242 in exponential form is:

99242 = 2¹ × 11¹ × 13¹ × 347¹

Step-2: Prime Factorization of 99252

Prime factors of 99252 are 2, 3, 919. Prime factorization of 99252 in exponential form is:

99252 = 2² × 3³ × 919¹

Step-3: Factors of 99242

List of positive integer factors of 99242 that divides 99242 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 347, 694, 3817, 4511, 7634, 9022, 49621

Step-4: Factors of 99252

List of positive integer factors of 99252 that divides 99242 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 919, 1838, 2757, 3676, 5514, 8271, 11028, 16542, 24813, 33084, 49626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99242 and 99252. The biggest common factor number is the GCF number.
So the greatest common factor 99242 and 99252 is 2.

Also check out the Least Common Multiple of 99242 and 99252