What is the Greatest Common Factor of 66844 and 66864?

Greatest common factor (GCF) of 66844 and 66864 is 4.

GCF(66844,66864) = 4

We will now calculate the prime factors of 66844 and 66864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66844 and 66864.

How to find the GCF of 66844 and 66864?

We will first find the prime factorization of 66844 and 66864. After we will calculate the factors of 66844 and 66864 and find the biggest common factor number .

Step-1: Prime Factorization of 66844

Prime factors of 66844 are 2, 17, 983. Prime factorization of 66844 in exponential form is:

66844 = 2² × 17¹ × 983¹

Step-2: Prime Factorization of 66864

Prime factors of 66864 are 2, 3, 7, 199. Prime factorization of 66864 in exponential form is:

66864 = 2⁴ × 3¹ × 7¹ × 199¹

Step-3: Factors of 66844

List of positive integer factors of 66844 that divides 66844 without a remainder.

1, 2, 4, 17, 34, 68, 983, 1966, 3932, 16711, 33422

Step-4: Factors of 66864

List of positive integer factors of 66864 that divides 66844 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 199, 336, 398, 597, 796, 1194, 1393, 1592, 2388, 2786, 3184, 4179, 4776, 5572, 8358, 9552, 11144, 16716, 22288, 33432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66844 and 66864. The biggest common factor number is the GCF number.
So the greatest common factor 66844 and 66864 is 4.

Also check out the Least Common Multiple of 66844 and 66864