What is the Greatest Common Factor of 89947 and 89960?

Greatest common factor (GCF) of 89947 and 89960 is 13.

GCF(89947,89960) = 13

We will now calculate the prime factors of 89947 and 89960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89947 and 89960.

How to find the GCF of 89947 and 89960?

We will first find the prime factorization of 89947 and 89960. After we will calculate the factors of 89947 and 89960 and find the biggest common factor number .

Step-1: Prime Factorization of 89947

Prime factors of 89947 are 11, 13, 17, 37. Prime factorization of 89947 in exponential form is:

89947 = 11¹ × 13¹ × 17¹ × 37¹

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 89947

List of positive integer factors of 89947 that divides 89947 without a remainder.

1, 11, 13, 17, 37, 143, 187, 221, 407, 481, 629, 2431, 5291, 6919, 8177

Step-4: Factors of 89960

List of positive integer factors of 89960 that divides 89947 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 89947 and 89960. The biggest common factor number is the GCF number.
So the greatest common factor 89947 and 89960 is 13.

Also check out the Least Common Multiple of 89947 and 89960