What is the Greatest Common Factor of 89105 and 89120?

Greatest common factor (GCF) of 89105 and 89120 is 5.

GCF(89105,89120) = 5

We will now calculate the prime factors of 89105 and 89120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89105 and 89120.

How to find the GCF of 89105 and 89120?

We will first find the prime factorization of 89105 and 89120. After we will calculate the factors of 89105 and 89120 and find the biggest common factor number .

Step-1: Prime Factorization of 89105

Prime factors of 89105 are 5, 71, 251. Prime factorization of 89105 in exponential form is:

89105 = 5¹ × 71¹ × 251¹

Step-2: Prime Factorization of 89120

Prime factors of 89120 are 2, 5, 557. Prime factorization of 89120 in exponential form is:

89120 = 2⁵ × 5¹ × 557¹

Step-3: Factors of 89105

List of positive integer factors of 89105 that divides 89105 without a remainder.

1, 5, 71, 251, 355, 1255, 17821

Step-4: Factors of 89120

List of positive integer factors of 89120 that divides 89105 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 557, 1114, 2228, 2785, 4456, 5570, 8912, 11140, 17824, 22280, 44560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89105 and 89120. The biggest common factor number is the GCF number.
So the greatest common factor 89105 and 89120 is 5.

Also check out the Least Common Multiple of 89105 and 89120