What is the Greatest Common Factor of 74157 and 74176?

Greatest common factor (GCF) of 74157 and 74176 is 19.

GCF(74157,74176) = 19

We will now calculate the prime factors of 74157 and 74176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74157 and 74176.

How to find the GCF of 74157 and 74176?

We will first find the prime factorization of 74157 and 74176. After we will calculate the factors of 74157 and 74176 and find the biggest common factor number .

Step-1: Prime Factorization of 74157

Prime factors of 74157 are 3, 19, 1301. Prime factorization of 74157 in exponential form is:

74157 = 3¹ × 19¹ × 1301¹

Step-2: 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-3: Factors of 74157

List of positive integer factors of 74157 that divides 74157 without a remainder.

1, 3, 19, 57, 1301, 3903, 24719

Step-4: Factors of 74176

List of positive integer factors of 74176 that divides 74157 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74157 and 74176. The biggest common factor number is the GCF number.
So the greatest common factor 74157 and 74176 is 19.

Also check out the Least Common Multiple of 74157 and 74176