What is the Greatest Common Factor of 89960 and 89979?

Greatest common factor (GCF) of 89960 and 89979 is 1.

GCF(89960,89979) = 1

We will now calculate the prime factors of 89960 and 89979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89960 and 89979.

How to find the GCF of 89960 and 89979?

We will first find the prime factorization of 89960 and 89979. After we will calculate the factors of 89960 and 89979 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89979

Prime factors of 89979 are 3, 89, 337. Prime factorization of 89979 in exponential form is:

89979 = 3¹ × 89¹ × 337¹

Step-3: Factors of 89960

List of positive integer factors of 89960 that divides 89960 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

Step-4: Factors of 89979

List of positive integer factors of 89979 that divides 89960 without a remainder.

1, 3, 89, 267, 337, 1011, 29993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89960 and 89979. The biggest common factor number is the GCF number.
So the greatest common factor 89960 and 89979 is 1.

Also check out the Least Common Multiple of 89960 and 89979