What is the Greatest Common Factor of 87945 and 87958?

Greatest common factor (GCF) of 87945 and 87958 is 13.

GCF(87945,87958) = 13

We will now calculate the prime factors of 87945 and 87958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87945 and 87958.

How to find the GCF of 87945 and 87958?

We will first find the prime factorization of 87945 and 87958. After we will calculate the factors of 87945 and 87958 and find the biggest common factor number .

Step-1: Prime Factorization of 87945

Prime factors of 87945 are 3, 5, 11, 13, 41. Prime factorization of 87945 in exponential form is:

87945 = 3¹ × 5¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 87958

Prime factors of 87958 are 2, 13, 17, 199. Prime factorization of 87958 in exponential form is:

87958 = 2¹ × 13¹ × 17¹ × 199¹

Step-3: Factors of 87945

List of positive integer factors of 87945 that divides 87945 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 41, 55, 65, 123, 143, 165, 195, 205, 429, 451, 533, 615, 715, 1353, 1599, 2145, 2255, 2665, 5863, 6765, 7995, 17589, 29315

Step-4: Factors of 87958

List of positive integer factors of 87958 that divides 87945 without a remainder.

1, 2, 13, 17, 26, 34, 199, 221, 398, 442, 2587, 3383, 5174, 6766, 43979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87945 and 87958. The biggest common factor number is the GCF number.
So the greatest common factor 87945 and 87958 is 13.

Also check out the Least Common Multiple of 87945 and 87958