What is the Greatest Common Factor of 64854 and 64862?

Greatest common factor (GCF) of 64854 and 64862 is 2.

GCF(64854,64862) = 2

We will now calculate the prime factors of 64854 and 64862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64854 and 64862.

How to find the GCF of 64854 and 64862?

We will first find the prime factorization of 64854 and 64862. After we will calculate the factors of 64854 and 64862 and find the biggest common factor number .

Step-1: Prime Factorization of 64854

Prime factors of 64854 are 2, 3, 1201. Prime factorization of 64854 in exponential form is:

64854 = 2¹ × 3³ × 1201¹

Step-2: Prime Factorization of 64862

Prime factors of 64862 are 2, 7, 41, 113. Prime factorization of 64862 in exponential form is:

64862 = 2¹ × 7¹ × 41¹ × 113¹

Step-3: Factors of 64854

List of positive integer factors of 64854 that divides 64854 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1201, 2402, 3603, 7206, 10809, 21618, 32427

Step-4: Factors of 64862

List of positive integer factors of 64862 that divides 64854 without a remainder.

1, 2, 7, 14, 41, 82, 113, 226, 287, 574, 791, 1582, 4633, 9266, 32431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64854 and 64862. The biggest common factor number is the GCF number.
So the greatest common factor 64854 and 64862 is 2.

Also check out the Least Common Multiple of 64854 and 64862