What is the Greatest Common Factor of 74176 and 74192?

Greatest common factor (GCF) of 74176 and 74192 is 16.

GCF(74176,74192) = 16

We will now calculate the prime factors of 74176 and 74192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74176 and 74192.

How to find the GCF of 74176 and 74192?

We will first find the prime factorization of 74176 and 74192. After we will calculate the factors of 74176 and 74192 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 74192

Prime factors of 74192 are 2, 4637. Prime factorization of 74192 in exponential form is:

74192 = 2⁴ × 4637¹

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 74192

List of positive integer factors of 74192 that divides 74176 without a remainder.

1, 2, 4, 8, 16, 4637, 9274, 18548, 37096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74176 and 74192. The biggest common factor number is the GCF number.
So the greatest common factor 74176 and 74192 is 16.

Also check out the Least Common Multiple of 74176 and 74192