What is the Greatest Common Factor of 40176 and 40196?

Greatest common factor (GCF) of 40176 and 40196 is 4.

GCF(40176,40196) = 4

We will now calculate the prime factors of 40176 and 40196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40176 and 40196.

How to find the GCF of 40176 and 40196?

We will first find the prime factorization of 40176 and 40196. After we will calculate the factors of 40176 and 40196 and find the biggest common factor number .

Step-1: Prime Factorization of 40176

Prime factors of 40176 are 2, 3, 31. Prime factorization of 40176 in exponential form is:

40176 = 2⁴ × 3⁴ × 31¹

Step-2: Prime Factorization of 40196

Prime factors of 40196 are 2, 13, 773. Prime factorization of 40196 in exponential form is:

40196 = 2² × 13¹ × 773¹

Step-3: Factors of 40176

List of positive integer factors of 40176 that divides 40176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54, 62, 72, 81, 93, 108, 124, 144, 162, 186, 216, 248, 279, 324, 372, 432, 496, 558, 648, 744, 837, 1116, 1296, 1488, 1674, 2232, 2511, 3348, 4464, 5022, 6696, 10044, 13392, 20088

Step-4: Factors of 40196

List of positive integer factors of 40196 that divides 40176 without a remainder.

1, 2, 4, 13, 26, 52, 773, 1546, 3092, 10049, 20098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40176 and 40196. The biggest common factor number is the GCF number.
So the greatest common factor 40176 and 40196 is 4.

Also check out the Least Common Multiple of 40176 and 40196