What is the Greatest Common Factor of 88095 and 88102?

Greatest common factor (GCF) of 88095 and 88102 is 7.

GCF(88095,88102) = 7

We will now calculate the prime factors of 88095 and 88102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88095 and 88102.

How to find the GCF of 88095 and 88102?

We will first find the prime factorization of 88095 and 88102. After we will calculate the factors of 88095 and 88102 and find the biggest common factor number .

Step-1: Prime Factorization of 88095

Prime factors of 88095 are 3, 5, 7, 839. Prime factorization of 88095 in exponential form is:

88095 = 3¹ × 5¹ × 7¹ × 839¹

Step-2: 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-3: Factors of 88095

List of positive integer factors of 88095 that divides 88095 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 839, 2517, 4195, 5873, 12585, 17619, 29365

Step-4: Factors of 88102

List of positive integer factors of 88102 that divides 88095 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88095 and 88102. The biggest common factor number is the GCF number.
So the greatest common factor 88095 and 88102 is 7.

Also check out the Least Common Multiple of 88095 and 88102