What is the Greatest Common Factor of 35910 and 35929?

Greatest common factor (GCF) of 35910 and 35929 is 19.

GCF(35910,35929) = 19

We will now calculate the prime factors of 35910 and 35929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35910 and 35929.

How to find the GCF of 35910 and 35929?

We will first find the prime factorization of 35910 and 35929. After we will calculate the factors of 35910 and 35929 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 35929

Prime factors of 35929 are 19, 31, 61. Prime factorization of 35929 in exponential form is:

35929 = 19¹ × 31¹ × 61¹

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 35929

List of positive integer factors of 35929 that divides 35910 without a remainder.

1, 19, 31, 61, 589, 1159, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35910 and 35929. The biggest common factor number is the GCF number.
So the greatest common factor 35910 and 35929 is 19.

Also check out the Least Common Multiple of 35910 and 35929