What is the Greatest Common Factor of 35950 and 35965?

Greatest common factor (GCF) of 35950 and 35965 is 5.

GCF(35950,35965) = 5

We will now calculate the prime factors of 35950 and 35965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35950 and 35965.

How to find the GCF of 35950 and 35965?

We will first find the prime factorization of 35950 and 35965. After we will calculate the factors of 35950 and 35965 and find the biggest common factor number .

Step-1: Prime Factorization of 35950

Prime factors of 35950 are 2, 5, 719. Prime factorization of 35950 in exponential form is:

35950 = 2¹ × 5² × 719¹

Step-2: Prime Factorization of 35965

Prime factors of 35965 are 5, 7193. Prime factorization of 35965 in exponential form is:

35965 = 5¹ × 7193¹

Step-3: Factors of 35950

List of positive integer factors of 35950 that divides 35950 without a remainder.

1, 2, 5, 10, 25, 50, 719, 1438, 3595, 7190, 17975

Step-4: Factors of 35965

List of positive integer factors of 35965 that divides 35950 without a remainder.

1, 5, 7193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35950 and 35965. The biggest common factor number is the GCF number.
So the greatest common factor 35950 and 35965 is 5.

Also check out the Least Common Multiple of 35950 and 35965