What is the Greatest Common Factor of 35930 and 35950?

Greatest common factor (GCF) of 35930 and 35950 is 10.

GCF(35930,35950) = 10

We will now calculate the prime factors of 35930 and 35950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35930 and 35950.

How to find the GCF of 35930 and 35950?

We will first find the prime factorization of 35930 and 35950. After we will calculate the factors of 35930 and 35950 and find the biggest common factor number .

Step-1: Prime Factorization of 35930

Prime factors of 35930 are 2, 5, 3593. Prime factorization of 35930 in exponential form is:

35930 = 2¹ × 5¹ × 3593¹

Step-2: 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-3: Factors of 35930

List of positive integer factors of 35930 that divides 35930 without a remainder.

1, 2, 5, 10, 3593, 7186, 17965

Step-4: Factors of 35950

List of positive integer factors of 35950 that divides 35930 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35930 and 35950. The biggest common factor number is the GCF number.
So the greatest common factor 35930 and 35950 is 10.

Also check out the Least Common Multiple of 35930 and 35950