What is the Greatest Common Factor of 74152 and 74161?

Greatest common factor (GCF) of 74152 and 74161 is 1.

GCF(74152,74161) = 1

We will now calculate the prime factors of 74152 and 74161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74152 and 74161.

How to find the GCF of 74152 and 74161?

We will first find the prime factorization of 74152 and 74161. After we will calculate the factors of 74152 and 74161 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74161

Prime factors of 74161 are 74161. Prime factorization of 74161 in exponential form is:

74161 = 74161¹

Step-3: Factors of 74152

List of positive integer factors of 74152 that divides 74152 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

Step-4: Factors of 74161

List of positive integer factors of 74161 that divides 74152 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74152 and 74161. The biggest common factor number is the GCF number.
So the greatest common factor 74152 and 74161 is 1.

Also check out the Least Common Multiple of 74152 and 74161