What is the Greatest Common Factor of 42148 and 42168?

Greatest common factor (GCF) of 42148 and 42168 is 4.

GCF(42148,42168) = 4

We will now calculate the prime factors of 42148 and 42168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42148 and 42168.

How to find the GCF of 42148 and 42168?

We will first find the prime factorization of 42148 and 42168. After we will calculate the factors of 42148 and 42168 and find the biggest common factor number .

Step-1: Prime Factorization of 42148

Prime factors of 42148 are 2, 41, 257. Prime factorization of 42148 in exponential form is:

42148 = 2² × 41¹ × 257¹

Step-2: Prime Factorization of 42168

Prime factors of 42168 are 2, 3, 7, 251. Prime factorization of 42168 in exponential form is:

42168 = 2³ × 3¹ × 7¹ × 251¹

Step-3: Factors of 42148

List of positive integer factors of 42148 that divides 42148 without a remainder.

1, 2, 4, 41, 82, 164, 257, 514, 1028, 10537, 21074

Step-4: Factors of 42168

List of positive integer factors of 42168 that divides 42148 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 251, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 5271, 6024, 7028, 10542, 14056, 21084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42148 and 42168. The biggest common factor number is the GCF number.
So the greatest common factor 42148 and 42168 is 4.

Also check out the Least Common Multiple of 42148 and 42168