What is the Greatest Common Factor of 88102 and 88109?

Greatest common factor (GCF) of 88102 and 88109 is 7.

GCF(88102,88109) = 7

We will now calculate the prime factors of 88102 and 88109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88102 and 88109.

How to find the GCF of 88102 and 88109?

We will first find the prime factorization of 88102 and 88109. After we will calculate the factors of 88102 and 88109 and find the biggest common factor number .

Step-1: Prime Factorization of 88102

Prime factors of 88102 are 2, 7, 29, 31. Prime factorization of 88102 in exponential form is:

88102 = 2¹ × 7² × 29¹ × 31¹

Step-2: Prime Factorization of 88109

Prime factors of 88109 are 7, 41, 307. Prime factorization of 88109 in exponential form is:

88109 = 7¹ × 41¹ × 307¹

Step-3: Factors of 88102

List of positive integer factors of 88102 that divides 88102 without a remainder.

1, 2, 7, 14, 29, 31, 49, 58, 62, 98, 203, 217, 406, 434, 899, 1421, 1519, 1798, 2842, 3038, 6293, 12586, 44051

Step-4: Factors of 88109

List of positive integer factors of 88109 that divides 88102 without a remainder.

1, 7, 41, 287, 307, 2149, 12587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88102 and 88109. The biggest common factor number is the GCF number.
So the greatest common factor 88102 and 88109 is 7.

Also check out the Least Common Multiple of 88102 and 88109