What is the Greatest Common Factor of 88102 and 88121?

Greatest common factor (GCF) of 88102 and 88121 is 1.

GCF(88102,88121) = 1

We will now calculate the prime factors of 88102 and 88121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88102 and 88121.

How to find the GCF of 88102 and 88121?

We will first find the prime factorization of 88102 and 88121. After we will calculate the factors of 88102 and 88121 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 88121

Prime factors of 88121 are 11, 8011. Prime factorization of 88121 in exponential form is:

88121 = 11¹ × 8011¹

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 88121

List of positive integer factors of 88121 that divides 88102 without a remainder.

1, 11, 8011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88102 and 88121. The biggest common factor number is the GCF number.
So the greatest common factor 88102 and 88121 is 1.

Also check out the Least Common Multiple of 88102 and 88121