What is the Greatest Common Factor of 87935 and 87950?

Greatest common factor (GCF) of 87935 and 87950 is 5.

GCF(87935,87950) = 5

We will now calculate the prime factors of 87935 and 87950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87935 and 87950.

How to find the GCF of 87935 and 87950?

We will first find the prime factorization of 87935 and 87950. After we will calculate the factors of 87935 and 87950 and find the biggest common factor number .

Step-1: Prime Factorization of 87935

Prime factors of 87935 are 5, 43, 409. Prime factorization of 87935 in exponential form is:

87935 = 5¹ × 43¹ × 409¹

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 87935

List of positive integer factors of 87935 that divides 87935 without a remainder.

1, 5, 43, 215, 409, 2045, 17587

Step-4: Factors of 87950

List of positive integer factors of 87950 that divides 87935 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 87935 and 87950. The biggest common factor number is the GCF number.
So the greatest common factor 87935 and 87950 is 5.

Also check out the Least Common Multiple of 87935 and 87950