What is the Greatest Common Factor of 88102 and 88112?

Greatest common factor (GCF) of 88102 and 88112 is 2.

GCF(88102,88112) = 2

We will now calculate the prime factors of 88102 and 88112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88102 and 88112.

How to find the GCF of 88102 and 88112?

We will first find the prime factorization of 88102 and 88112. After we will calculate the factors of 88102 and 88112 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 88112

Prime factors of 88112 are 2, 5507. Prime factorization of 88112 in exponential form is:

88112 = 2⁴ × 5507¹

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 88112

List of positive integer factors of 88112 that divides 88102 without a remainder.

1, 2, 4, 8, 16, 5507, 11014, 22028, 44056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88102 and 88112. The biggest common factor number is the GCF number.
So the greatest common factor 88102 and 88112 is 2.

Also check out the Least Common Multiple of 88102 and 88112