What is the Greatest Common Factor of 32858 and 32864?

Greatest common factor (GCF) of 32858 and 32864 is 2.

GCF(32858,32864) = 2

We will now calculate the prime factors of 32858 and 32864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32858 and 32864.

How to find the GCF of 32858 and 32864?

We will first find the prime factorization of 32858 and 32864. After we will calculate the factors of 32858 and 32864 and find the biggest common factor number .

Step-1: Prime Factorization of 32858

Prime factors of 32858 are 2, 7, 2347. Prime factorization of 32858 in exponential form is:

32858 = 2¹ × 7¹ × 2347¹

Step-2: Prime Factorization of 32864

Prime factors of 32864 are 2, 13, 79. Prime factorization of 32864 in exponential form is:

32864 = 2⁵ × 13¹ × 79¹

Step-3: Factors of 32858

List of positive integer factors of 32858 that divides 32858 without a remainder.

1, 2, 7, 14, 2347, 4694, 16429

Step-4: Factors of 32864

List of positive integer factors of 32864 that divides 32858 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 79, 104, 158, 208, 316, 416, 632, 1027, 1264, 2054, 2528, 4108, 8216, 16432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32858 and 32864. The biggest common factor number is the GCF number.
So the greatest common factor 32858 and 32864 is 2.

Also check out the Least Common Multiple of 32858 and 32864