What is the Greatest Common Factor of 87950 and 87960?

Greatest common factor (GCF) of 87950 and 87960 is 10.

GCF(87950,87960) = 10

We will now calculate the prime factors of 87950 and 87960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87950 and 87960.

How to find the GCF of 87950 and 87960?

We will first find the prime factorization of 87950 and 87960. After we will calculate the factors of 87950 and 87960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87960

Prime factors of 87960 are 2, 3, 5, 733. Prime factorization of 87960 in exponential form is:

87960 = 2³ × 3¹ × 5¹ × 733¹

Step-3: Factors of 87950

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

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

Step-4: Factors of 87960

List of positive integer factors of 87960 that divides 87950 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 733, 1466, 2199, 2932, 3665, 4398, 5864, 7330, 8796, 10995, 14660, 17592, 21990, 29320, 43980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87950 and 87960. The biggest common factor number is the GCF number.
So the greatest common factor 87950 and 87960 is 10.

Also check out the Least Common Multiple of 87950 and 87960