What is the Greatest Common Factor of 66144 and 66160?

Greatest common factor (GCF) of 66144 and 66160 is 16.

GCF(66144,66160) = 16

We will now calculate the prime factors of 66144 and 66160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66144 and 66160.

How to find the GCF of 66144 and 66160?

We will first find the prime factorization of 66144 and 66160. After we will calculate the factors of 66144 and 66160 and find the biggest common factor number .

Step-1: Prime Factorization of 66144

Prime factors of 66144 are 2, 3, 13, 53. Prime factorization of 66144 in exponential form is:

66144 = 2⁵ × 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 66160

Prime factors of 66160 are 2, 5, 827. Prime factorization of 66160 in exponential form is:

66160 = 2⁴ × 5¹ × 827¹

Step-3: Factors of 66144

List of positive integer factors of 66144 that divides 66144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 53, 78, 96, 104, 106, 156, 159, 208, 212, 312, 318, 416, 424, 624, 636, 689, 848, 1248, 1272, 1378, 1696, 2067, 2544, 2756, 4134, 5088, 5512, 8268, 11024, 16536, 22048, 33072

Step-4: Factors of 66160

List of positive integer factors of 66160 that divides 66144 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 827, 1654, 3308, 4135, 6616, 8270, 13232, 16540, 33080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66144 and 66160. The biggest common factor number is the GCF number.
So the greatest common factor 66144 and 66160 is 16.

Also check out the Least Common Multiple of 66144 and 66160