What is the Greatest Common Factor of 89080 and 89095?

Greatest common factor (GCF) of 89080 and 89095 is 5.

GCF(89080,89095) = 5

We will now calculate the prime factors of 89080 and 89095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89080 and 89095.

How to find the GCF of 89080 and 89095?

We will first find the prime factorization of 89080 and 89095. After we will calculate the factors of 89080 and 89095 and find the biggest common factor number .

Step-1: Prime Factorization of 89080

Prime factors of 89080 are 2, 5, 17, 131. Prime factorization of 89080 in exponential form is:

89080 = 2³ × 5¹ × 17¹ × 131¹

Step-2: Prime Factorization of 89095

Prime factors of 89095 are 5, 103, 173. Prime factorization of 89095 in exponential form is:

89095 = 5¹ × 103¹ × 173¹

Step-3: Factors of 89080

List of positive integer factors of 89080 that divides 89080 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 131, 136, 170, 262, 340, 524, 655, 680, 1048, 1310, 2227, 2620, 4454, 5240, 8908, 11135, 17816, 22270, 44540

Step-4: Factors of 89095

List of positive integer factors of 89095 that divides 89080 without a remainder.

1, 5, 103, 173, 515, 865, 17819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89080 and 89095. The biggest common factor number is the GCF number.
So the greatest common factor 89080 and 89095 is 5.

Also check out the Least Common Multiple of 89080 and 89095