What is the Greatest Common Factor of 88090 and 88105?

Greatest common factor (GCF) of 88090 and 88105 is 5.

GCF(88090,88105) = 5

We will now calculate the prime factors of 88090 and 88105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88090 and 88105.

How to find the GCF of 88090 and 88105?

We will first find the prime factorization of 88090 and 88105. After we will calculate the factors of 88090 and 88105 and find the biggest common factor number .

Step-1: Prime Factorization of 88090

Prime factors of 88090 are 2, 5, 23, 383. Prime factorization of 88090 in exponential form is:

88090 = 2¹ × 5¹ × 23¹ × 383¹

Step-2: 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-3: Factors of 88090

List of positive integer factors of 88090 that divides 88090 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 383, 766, 1915, 3830, 8809, 17618, 44045

Step-4: Factors of 88105

List of positive integer factors of 88105 that divides 88090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88090 and 88105. The biggest common factor number is the GCF number.
So the greatest common factor 88090 and 88105 is 5.

Also check out the Least Common Multiple of 88090 and 88105