What is the Greatest Common Factor of 88107 and 88116?

Greatest common factor (GCF) of 88107 and 88116 is 3.

GCF(88107,88116) = 3

We will now calculate the prime factors of 88107 and 88116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88107 and 88116.

How to find the GCF of 88107 and 88116?

We will first find the prime factorization of 88107 and 88116. After we will calculate the factors of 88107 and 88116 and find the biggest common factor number .

Step-1: Prime Factorization of 88107

Prime factors of 88107 are 3, 43, 683. Prime factorization of 88107 in exponential form is:

88107 = 3¹ × 43¹ × 683¹

Step-2: Prime Factorization of 88116

Prime factors of 88116 are 2, 3, 7, 1049. Prime factorization of 88116 in exponential form is:

88116 = 2² × 3¹ × 7¹ × 1049¹

Step-3: Factors of 88107

List of positive integer factors of 88107 that divides 88107 without a remainder.

1, 3, 43, 129, 683, 2049, 29369

Step-4: Factors of 88116

List of positive integer factors of 88116 that divides 88107 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1049, 2098, 3147, 4196, 6294, 7343, 12588, 14686, 22029, 29372, 44058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88107 and 88116. The biggest common factor number is the GCF number.
So the greatest common factor 88107 and 88116 is 3.

Also check out the Least Common Multiple of 88107 and 88116