What is the Greatest Common Factor of 40140 and 40148?

Greatest common factor (GCF) of 40140 and 40148 is 4.

GCF(40140,40148) = 4

We will now calculate the prime factors of 40140 and 40148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40140 and 40148.

How to find the GCF of 40140 and 40148?

We will first find the prime factorization of 40140 and 40148. After we will calculate the factors of 40140 and 40148 and find the biggest common factor number .

Step-1: Prime Factorization of 40140

Prime factors of 40140 are 2, 3, 5, 223. Prime factorization of 40140 in exponential form is:

40140 = 2² × 3² × 5¹ × 223¹

Step-2: Prime Factorization of 40148

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

40148 = 2² × 10037¹

Step-3: Factors of 40140

List of positive integer factors of 40140 that divides 40140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 223, 446, 669, 892, 1115, 1338, 2007, 2230, 2676, 3345, 4014, 4460, 6690, 8028, 10035, 13380, 20070

Step-4: Factors of 40148

List of positive integer factors of 40148 that divides 40140 without a remainder.

1, 2, 4, 10037, 20074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40140 and 40148. The biggest common factor number is the GCF number.
So the greatest common factor 40140 and 40148 is 4.

Also check out the Least Common Multiple of 40140 and 40148