What is the Greatest Common Factor of 74146 and 74152?

Greatest common factor (GCF) of 74146 and 74152 is 2.

GCF(74146,74152) = 2

We will now calculate the prime factors of 74146 and 74152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74146 and 74152.

How to find the GCF of 74146 and 74152?

We will first find the prime factorization of 74146 and 74152. After we will calculate the factors of 74146 and 74152 and find the biggest common factor number .

Step-1: Prime Factorization of 74146

Prime factors of 74146 are 2, 131, 283. Prime factorization of 74146 in exponential form is:

74146 = 2¹ × 131¹ × 283¹

Step-2: Prime Factorization of 74152

Prime factors of 74152 are 2, 13, 23, 31. Prime factorization of 74152 in exponential form is:

74152 = 2³ × 13¹ × 23¹ × 31¹

Step-3: Factors of 74146

List of positive integer factors of 74146 that divides 74146 without a remainder.

1, 2, 131, 262, 283, 566, 37073

Step-4: Factors of 74152

List of positive integer factors of 74152 that divides 74146 without a remainder.

1, 2, 4, 8, 13, 23, 26, 31, 46, 52, 62, 92, 104, 124, 184, 248, 299, 403, 598, 713, 806, 1196, 1426, 1612, 2392, 2852, 3224, 5704, 9269, 18538, 37076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74146 and 74152. The biggest common factor number is the GCF number.
So the greatest common factor 74146 and 74152 is 2.

Also check out the Least Common Multiple of 74146 and 74152