What is the Greatest Common Factor of 89960 and 89967?

Greatest common factor (GCF) of 89960 and 89967 is 1.

GCF(89960,89967) = 1

We will now calculate the prime factors of 89960 and 89967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89960 and 89967.

How to find the GCF of 89960 and 89967?

We will first find the prime factorization of 89960 and 89967. After we will calculate the factors of 89960 and 89967 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 89967

Prime factors of 89967 are 3, 29989. Prime factorization of 89967 in exponential form is:

89967 = 3¹ × 29989¹

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 89967

List of positive integer factors of 89967 that divides 89960 without a remainder.

1, 3, 29989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89960 and 89967. The biggest common factor number is the GCF number.
So the greatest common factor 89960 and 89967 is 1.

Also check out the Least Common Multiple of 89960 and 89967