What is the Greatest Common Factor of 88104 and 88122?

Greatest common factor (GCF) of 88104 and 88122 is 6.

GCF(88104,88122) = 6

We will now calculate the prime factors of 88104 and 88122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88104 and 88122.

How to find the GCF of 88104 and 88122?

We will first find the prime factorization of 88104 and 88122. After we will calculate the factors of 88104 and 88122 and find the biggest common factor number .

Step-1: Prime Factorization of 88104

Prime factors of 88104 are 2, 3, 3671. Prime factorization of 88104 in exponential form is:

88104 = 2³ × 3¹ × 3671¹

Step-2: Prime Factorization of 88122

Prime factors of 88122 are 2, 3, 19, 773. Prime factorization of 88122 in exponential form is:

88122 = 2¹ × 3¹ × 19¹ × 773¹

Step-3: Factors of 88104

List of positive integer factors of 88104 that divides 88104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3671, 7342, 11013, 14684, 22026, 29368, 44052

Step-4: Factors of 88122

List of positive integer factors of 88122 that divides 88104 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 773, 1546, 2319, 4638, 14687, 29374, 44061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88104 and 88122. The biggest common factor number is the GCF number.
So the greatest common factor 88104 and 88122 is 6.

Also check out the Least Common Multiple of 88104 and 88122