What is the Greatest Common Factor of 74176 and 74187?

Greatest common factor (GCF) of 74176 and 74187 is 1.

GCF(74176,74187) = 1

We will now calculate the prime factors of 74176 and 74187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74176 and 74187.

How to find the GCF of 74176 and 74187?

We will first find the prime factorization of 74176 and 74187. After we will calculate the factors of 74176 and 74187 and find the biggest common factor number .

Step-1: Prime Factorization of 74176

Prime factors of 74176 are 2, 19, 61. Prime factorization of 74176 in exponential form is:

74176 = 2⁶ × 19¹ × 61¹

Step-2: Prime Factorization of 74187

Prime factors of 74187 are 3, 8243. Prime factorization of 74187 in exponential form is:

74187 = 3² × 8243¹

Step-3: Factors of 74176

List of positive integer factors of 74176 that divides 74176 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 61, 64, 76, 122, 152, 244, 304, 488, 608, 976, 1159, 1216, 1952, 2318, 3904, 4636, 9272, 18544, 37088

Step-4: Factors of 74187

List of positive integer factors of 74187 that divides 74176 without a remainder.

1, 3, 9, 8243, 24729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74176 and 74187. The biggest common factor number is the GCF number.
So the greatest common factor 74176 and 74187 is 1.

Also check out the Least Common Multiple of 74176 and 74187