What is the Greatest Common Factor of 74109 and 74129?

Greatest common factor (GCF) of 74109 and 74129 is 1.

GCF(74109,74129) = 1

We will now calculate the prime factors of 74109 and 74129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74109 and 74129.

How to find the GCF of 74109 and 74129?

We will first find the prime factorization of 74109 and 74129. After we will calculate the factors of 74109 and 74129 and find the biggest common factor number .

Step-1: Prime Factorization of 74109

Prime factors of 74109 are 3, 7, 3529. Prime factorization of 74109 in exponential form is:

74109 = 3¹ × 7¹ × 3529¹

Step-2: 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-3: Factors of 74109

List of positive integer factors of 74109 that divides 74109 without a remainder.

1, 3, 7, 21, 3529, 10587, 24703

Step-4: Factors of 74129

List of positive integer factors of 74129 that divides 74109 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74109 and 74129. The biggest common factor number is the GCF number.
So the greatest common factor 74109 and 74129 is 1.

Also check out the Least Common Multiple of 74109 and 74129