What is the Greatest Common Factor of 35824 and 35828?

Greatest common factor (GCF) of 35824 and 35828 is 4.

GCF(35824,35828) = 4

We will now calculate the prime factors of 35824 and 35828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35824 and 35828.

How to find the GCF of 35824 and 35828?

We will first find the prime factorization of 35824 and 35828. After we will calculate the factors of 35824 and 35828 and find the biggest common factor number .

Step-1: Prime Factorization of 35824

Prime factors of 35824 are 2, 2239. Prime factorization of 35824 in exponential form is:

35824 = 2⁴ × 2239¹

Step-2: Prime Factorization of 35828

Prime factors of 35828 are 2, 13, 53. Prime factorization of 35828 in exponential form is:

35828 = 2² × 13² × 53¹

Step-3: Factors of 35824

List of positive integer factors of 35824 that divides 35824 without a remainder.

1, 2, 4, 8, 16, 2239, 4478, 8956, 17912

Step-4: Factors of 35828

List of positive integer factors of 35828 that divides 35824 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 169, 212, 338, 676, 689, 1378, 2756, 8957, 17914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35824 and 35828. The biggest common factor number is the GCF number.
So the greatest common factor 35824 and 35828 is 4.

Also check out the Least Common Multiple of 35824 and 35828