What is the Greatest Common Factor of 88242 and 88248?

Greatest common factor (GCF) of 88242 and 88248 is 6.

GCF(88242,88248) = 6

We will now calculate the prime factors of 88242 and 88248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88242 and 88248.

How to find the GCF of 88242 and 88248?

We will first find the prime factorization of 88242 and 88248. After we will calculate the factors of 88242 and 88248 and find the biggest common factor number .

Step-1: Prime Factorization of 88242

Prime factors of 88242 are 2, 3, 7, 11, 191. Prime factorization of 88242 in exponential form is:

88242 = 2¹ × 3¹ × 7¹ × 11¹ × 191¹

Step-2: Prime Factorization of 88248

Prime factors of 88248 are 2, 3, 3677. Prime factorization of 88248 in exponential form is:

88248 = 2³ × 3¹ × 3677¹

Step-3: Factors of 88242

List of positive integer factors of 88242 that divides 88242 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 191, 231, 382, 462, 573, 1146, 1337, 2101, 2674, 4011, 4202, 6303, 8022, 12606, 14707, 29414, 44121

Step-4: Factors of 88248

List of positive integer factors of 88248 that divides 88242 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3677, 7354, 11031, 14708, 22062, 29416, 44124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88242 and 88248. The biggest common factor number is the GCF number.
So the greatest common factor 88242 and 88248 is 6.

Also check out the Least Common Multiple of 88242 and 88248