What is the Greatest Common Factor of 88224 and 88242?

Greatest common factor (GCF) of 88224 and 88242 is 6.

GCF(88224,88242) = 6

We will now calculate the prime factors of 88224 and 88242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88224 and 88242.

How to find the GCF of 88224 and 88242?

We will first find the prime factorization of 88224 and 88242. After we will calculate the factors of 88224 and 88242 and find the biggest common factor number .

Step-1: Prime Factorization of 88224

Prime factors of 88224 are 2, 3, 919. Prime factorization of 88224 in exponential form is:

88224 = 2⁵ × 3¹ × 919¹

Step-2: 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-3: Factors of 88224

List of positive integer factors of 88224 that divides 88224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 919, 1838, 2757, 3676, 5514, 7352, 11028, 14704, 22056, 29408, 44112

Step-4: Factors of 88242

List of positive integer factors of 88242 that divides 88224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88224 and 88242. The biggest common factor number is the GCF number.
So the greatest common factor 88224 and 88242 is 6.

Also check out the Least Common Multiple of 88224 and 88242