What is the Greatest Common Factor of 35856 and 35870?

Greatest common factor (GCF) of 35856 and 35870 is 2.

GCF(35856,35870) = 2

We will now calculate the prime factors of 35856 and 35870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35856 and 35870.

How to find the GCF of 35856 and 35870?

We will first find the prime factorization of 35856 and 35870. After we will calculate the factors of 35856 and 35870 and find the biggest common factor number .

Step-1: Prime Factorization of 35856

Prime factors of 35856 are 2, 3, 83. Prime factorization of 35856 in exponential form is:

35856 = 2⁴ × 3³ × 83¹

Step-2: Prime Factorization of 35870

Prime factors of 35870 are 2, 5, 17, 211. Prime factorization of 35870 in exponential form is:

35870 = 2¹ × 5¹ × 17¹ × 211¹

Step-3: Factors of 35856

List of positive integer factors of 35856 that divides 35856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 83, 108, 144, 166, 216, 249, 332, 432, 498, 664, 747, 996, 1328, 1494, 1992, 2241, 2988, 3984, 4482, 5976, 8964, 11952, 17928

Step-4: Factors of 35870

List of positive integer factors of 35870 that divides 35856 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 211, 422, 1055, 2110, 3587, 7174, 17935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35856 and 35870. The biggest common factor number is the GCF number.
So the greatest common factor 35856 and 35870 is 2.

Also check out the Least Common Multiple of 35856 and 35870