What is the Greatest Common Factor of 74129 and 74141?

Greatest common factor (GCF) of 74129 and 74141 is 1.

GCF(74129,74141) = 1

We will now calculate the prime factors of 74129 and 74141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74129 and 74141.

How to find the GCF of 74129 and 74141?

We will first find the prime factorization of 74129 and 74141. After we will calculate the factors of 74129 and 74141 and find the biggest common factor number .

Step-1: Prime Factorization of 74129

Prime factors of 74129 are 11, 23, 293. Prime factorization of 74129 in exponential form is:

74129 = 11¹ × 23¹ × 293¹

Step-2: Prime Factorization of 74141

Prime factors of 74141 are 151, 491. Prime factorization of 74141 in exponential form is:

74141 = 151¹ × 491¹

Step-3: Factors of 74129

List of positive integer factors of 74129 that divides 74129 without a remainder.

1, 11, 23, 253, 293, 3223, 6739

Step-4: Factors of 74141

List of positive integer factors of 74141 that divides 74129 without a remainder.

1, 151, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74129 and 74141. The biggest common factor number is the GCF number.
So the greatest common factor 74129 and 74141 is 1.

Also check out the Least Common Multiple of 74129 and 74141