What is the Greatest Common Factor of 66148 and 66168?

Greatest common factor (GCF) of 66148 and 66168 is 4.

GCF(66148,66168) = 4

We will now calculate the prime factors of 66148 and 66168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66148 and 66168.

How to find the GCF of 66148 and 66168?

We will first find the prime factorization of 66148 and 66168. After we will calculate the factors of 66148 and 66168 and find the biggest common factor number .

Step-1: Prime Factorization of 66148

Prime factors of 66148 are 2, 23, 719. Prime factorization of 66148 in exponential form is:

66148 = 2² × 23¹ × 719¹

Step-2: Prime Factorization of 66168

Prime factors of 66168 are 2, 3, 919. Prime factorization of 66168 in exponential form is:

66168 = 2³ × 3² × 919¹

Step-3: Factors of 66148

List of positive integer factors of 66148 that divides 66148 without a remainder.

1, 2, 4, 23, 46, 92, 719, 1438, 2876, 16537, 33074

Step-4: Factors of 66168

List of positive integer factors of 66168 that divides 66148 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 919, 1838, 2757, 3676, 5514, 7352, 8271, 11028, 16542, 22056, 33084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66148 and 66168. The biggest common factor number is the GCF number.
So the greatest common factor 66148 and 66168 is 4.

Also check out the Least Common Multiple of 66148 and 66168