What is the Greatest Common Factor of 88105 and 88109?

Greatest common factor (GCF) of 88105 and 88109 is 1.

GCF(88105,88109) = 1

We will now calculate the prime factors of 88105 and 88109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88105 and 88109.

How to find the GCF of 88105 and 88109?

We will first find the prime factorization of 88105 and 88109. After we will calculate the factors of 88105 and 88109 and find the biggest common factor number .

Step-1: Prime Factorization of 88105

Prime factors of 88105 are 5, 67, 263. Prime factorization of 88105 in exponential form is:

88105 = 5¹ × 67¹ × 263¹

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 88105

List of positive integer factors of 88105 that divides 88105 without a remainder.

1, 5, 67, 263, 335, 1315, 17621

Step-4: Factors of 88109

List of positive integer factors of 88109 that divides 88105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88105 and 88109. The biggest common factor number is the GCF number.
So the greatest common factor 88105 and 88109 is 1.

Also check out the Least Common Multiple of 88105 and 88109