What is the Greatest Common Factor of 89955 and 89960?

Greatest common factor (GCF) of 89955 and 89960 is 5.

GCF(89955,89960) = 5

We will now calculate the prime factors of 89955 and 89960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89955 and 89960.

How to find the GCF of 89955 and 89960?

We will first find the prime factorization of 89955 and 89960. After we will calculate the factors of 89955 and 89960 and find the biggest common factor number .

Step-1: Prime Factorization of 89955

Prime factors of 89955 are 3, 5, 1999. Prime factorization of 89955 in exponential form is:

89955 = 3² × 5¹ × 1999¹

Step-2: Prime Factorization of 89960

Prime factors of 89960 are 2, 5, 13, 173. Prime factorization of 89960 in exponential form is:

89960 = 2³ × 5¹ × 13¹ × 173¹

Step-3: Factors of 89955

List of positive integer factors of 89955 that divides 89955 without a remainder.

1, 3, 5, 9, 15, 45, 1999, 5997, 9995, 17991, 29985

Step-4: Factors of 89960

List of positive integer factors of 89960 that divides 89955 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 173, 260, 346, 520, 692, 865, 1384, 1730, 2249, 3460, 4498, 6920, 8996, 11245, 17992, 22490, 44980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89955 and 89960. The biggest common factor number is the GCF number.
So the greatest common factor 89955 and 89960 is 5.

Also check out the Least Common Multiple of 89955 and 89960