What is the Greatest Common Factor of 35748 and 35768?

Greatest common factor (GCF) of 35748 and 35768 is 4.

GCF(35748,35768) = 4

We will now calculate the prime factors of 35748 and 35768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35748 and 35768.

How to find the GCF of 35748 and 35768?

We will first find the prime factorization of 35748 and 35768. After we will calculate the factors of 35748 and 35768 and find the biggest common factor number .

Step-1: Prime Factorization of 35748

Prime factors of 35748 are 2, 3, 331. Prime factorization of 35748 in exponential form is:

35748 = 2² × 3³ × 331¹

Step-2: Prime Factorization of 35768

Prime factors of 35768 are 2, 17, 263. Prime factorization of 35768 in exponential form is:

35768 = 2³ × 17¹ × 263¹

Step-3: Factors of 35748

List of positive integer factors of 35748 that divides 35748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 331, 662, 993, 1324, 1986, 2979, 3972, 5958, 8937, 11916, 17874

Step-4: Factors of 35768

List of positive integer factors of 35768 that divides 35748 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 263, 526, 1052, 2104, 4471, 8942, 17884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35748 and 35768. The biggest common factor number is the GCF number.
So the greatest common factor 35748 and 35768 is 4.

Also check out the Least Common Multiple of 35748 and 35768