What is the Greatest Common Factor of 35940 and 35950?

Greatest common factor (GCF) of 35940 and 35950 is 10.

GCF(35940,35950) = 10

We will now calculate the prime factors of 35940 and 35950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35940 and 35950.

How to find the GCF of 35940 and 35950?

We will first find the prime factorization of 35940 and 35950. After we will calculate the factors of 35940 and 35950 and find the biggest common factor number .

Step-1: Prime Factorization of 35940

Prime factors of 35940 are 2, 3, 5, 599. Prime factorization of 35940 in exponential form is:

35940 = 2² × 3¹ × 5¹ × 599¹

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 35940

List of positive integer factors of 35940 that divides 35940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 599, 1198, 1797, 2396, 2995, 3594, 5990, 7188, 8985, 11980, 17970

Step-4: Factors of 35950

List of positive integer factors of 35950 that divides 35940 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 35940 and 35950. The biggest common factor number is the GCF number.
So the greatest common factor 35940 and 35950 is 10.

Also check out the Least Common Multiple of 35940 and 35950