What is the Greatest Common Factor of 35840 and 35860?

Greatest common factor (GCF) of 35840 and 35860 is 20.

GCF(35840,35860) = 20

We will now calculate the prime factors of 35840 and 35860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35840 and 35860.

How to find the GCF of 35840 and 35860?

We will first find the prime factorization of 35840 and 35860. After we will calculate the factors of 35840 and 35860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35860

Prime factors of 35860 are 2, 5, 11, 163. Prime factorization of 35860 in exponential form is:

35860 = 2² × 5¹ × 11¹ × 163¹

Step-3: Factors of 35840

List of positive integer factors of 35840 that divides 35840 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

Step-4: Factors of 35860

List of positive integer factors of 35860 that divides 35840 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 163, 220, 326, 652, 815, 1630, 1793, 3260, 3586, 7172, 8965, 17930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35840 and 35860. The biggest common factor number is the GCF number.
So the greatest common factor 35840 and 35860 is 20.

Also check out the Least Common Multiple of 35840 and 35860