What is the Greatest Common Factor of 58947 and 58960?

Greatest common factor (GCF) of 58947 and 58960 is 1.

GCF(58947,58960) = 1

We will now calculate the prime factors of 58947 and 58960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58947 and 58960.

How to find the GCF of 58947 and 58960?

We will first find the prime factorization of 58947 and 58960. After we will calculate the factors of 58947 and 58960 and find the biggest common factor number .

Step-1: Prime Factorization of 58947

Prime factors of 58947 are 3, 7, 401. Prime factorization of 58947 in exponential form is:

58947 = 3¹ × 7² × 401¹

Step-2: Prime Factorization of 58960

Prime factors of 58960 are 2, 5, 11, 67. Prime factorization of 58960 in exponential form is:

58960 = 2⁴ × 5¹ × 11¹ × 67¹

Step-3: Factors of 58947

List of positive integer factors of 58947 that divides 58947 without a remainder.

1, 3, 7, 21, 49, 147, 401, 1203, 2807, 8421, 19649

Step-4: Factors of 58960

List of positive integer factors of 58960 that divides 58947 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 67, 80, 88, 110, 134, 176, 220, 268, 335, 440, 536, 670, 737, 880, 1072, 1340, 1474, 2680, 2948, 3685, 5360, 5896, 7370, 11792, 14740, 29480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58947 and 58960. The biggest common factor number is the GCF number.
So the greatest common factor 58947 and 58960 is 1.

Also check out the Least Common Multiple of 58947 and 58960