What is the Greatest Common Factor of 35826 and 35840?

Greatest common factor (GCF) of 35826 and 35840 is 14.

GCF(35826,35840) = 14

We will now calculate the prime factors of 35826 and 35840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35826 and 35840.

How to find the GCF of 35826 and 35840?

We will first find the prime factorization of 35826 and 35840. After we will calculate the factors of 35826 and 35840 and find the biggest common factor number .

Step-1: Prime Factorization of 35826

Prime factors of 35826 are 2, 3, 7, 853. Prime factorization of 35826 in exponential form is:

35826 = 2¹ × 3¹ × 7¹ × 853¹

Step-2: Prime Factorization of 35840

Prime factors of 35840 are 2, 5, 7. Prime factorization of 35840 in exponential form is:

35840 = 2¹⁰ × 5¹ × 7¹

Step-3: Factors of 35826

List of positive integer factors of 35826 that divides 35826 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 853, 1706, 2559, 5118, 5971, 11942, 17913

Step-4: Factors of 35840

List of positive integer factors of 35840 that divides 35826 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 512, 560, 640, 896, 1024, 1120, 1280, 1792, 2240, 2560, 3584, 4480, 5120, 7168, 8960, 17920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35826 and 35840. The biggest common factor number is the GCF number.
So the greatest common factor 35826 and 35840 is 14.

Also check out the Least Common Multiple of 35826 and 35840