What is the Greatest Common Factor of 40148 and 40162?

Greatest common factor (GCF) of 40148 and 40162 is 2.

GCF(40148,40162) = 2

We will now calculate the prime factors of 40148 and 40162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40148 and 40162.

How to find the GCF of 40148 and 40162?

We will first find the prime factorization of 40148 and 40162. After we will calculate the factors of 40148 and 40162 and find the biggest common factor number .

Step-1: Prime Factorization of 40148

Prime factors of 40148 are 2, 10037. Prime factorization of 40148 in exponential form is:

40148 = 2² × 10037¹

Step-2: Prime Factorization of 40162

Prime factors of 40162 are 2, 43, 467. Prime factorization of 40162 in exponential form is:

40162 = 2¹ × 43¹ × 467¹

Step-3: Factors of 40148

List of positive integer factors of 40148 that divides 40148 without a remainder.

1, 2, 4, 10037, 20074

Step-4: Factors of 40162

List of positive integer factors of 40162 that divides 40148 without a remainder.

1, 2, 43, 86, 467, 934, 20081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40148 and 40162. The biggest common factor number is the GCF number.
So the greatest common factor 40148 and 40162 is 2.

Also check out the Least Common Multiple of 40148 and 40162