What is the Greatest Common Factor of 87945 and 87950?

Greatest common factor (GCF) of 87945 and 87950 is 5.

GCF(87945,87950) = 5

We will now calculate the prime factors of 87945 and 87950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87945 and 87950.

How to find the GCF of 87945 and 87950?

We will first find the prime factorization of 87945 and 87950. After we will calculate the factors of 87945 and 87950 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 87950

Prime factors of 87950 are 2, 5, 1759. Prime factorization of 87950 in exponential form is:

87950 = 2¹ × 5² × 1759¹

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 87950

List of positive integer factors of 87950 that divides 87945 without a remainder.

1, 2, 5, 10, 25, 50, 1759, 3518, 8795, 17590, 43975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87945 and 87950. The biggest common factor number is the GCF number.
So the greatest common factor 87945 and 87950 is 5.

Also check out the Least Common Multiple of 87945 and 87950