What is the Greatest Common Factor of 35910 and 35930?

Greatest common factor (GCF) of 35910 and 35930 is 10.

GCF(35910,35930) = 10

We will now calculate the prime factors of 35910 and 35930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35910 and 35930.

How to find the GCF of 35910 and 35930?

We will first find the prime factorization of 35910 and 35930. After we will calculate the factors of 35910 and 35930 and find the biggest common factor number .

Step-1: Prime Factorization of 35910

Prime factors of 35910 are 2, 3, 5, 7, 19. Prime factorization of 35910 in exponential form is:

35910 = 2¹ × 3³ × 5¹ × 7¹ × 19¹

Step-2: 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-3: Factors of 35910

List of positive integer factors of 35910 that divides 35910 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 27, 30, 35, 38, 42, 45, 54, 57, 63, 70, 90, 95, 105, 114, 126, 133, 135, 171, 189, 190, 210, 266, 270, 285, 315, 342, 378, 399, 513, 570, 630, 665, 798, 855, 945, 1026, 1197, 1330, 1710, 1890, 1995, 2394, 2565, 3591, 3990, 5130, 5985, 7182, 11970, 17955

Step-4: Factors of 35930

List of positive integer factors of 35930 that divides 35910 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35910 and 35930. The biggest common factor number is the GCF number.
So the greatest common factor 35910 and 35930 is 10.

Also check out the Least Common Multiple of 35910 and 35930