What is the Greatest Common Factor of 74081 and 74095?

Greatest common factor (GCF) of 74081 and 74095 is 7.

GCF(74081,74095) = 7

We will now calculate the prime factors of 74081 and 74095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74081 and 74095.

How to find the GCF of 74081 and 74095?

We will first find the prime factorization of 74081 and 74095. After we will calculate the factors of 74081 and 74095 and find the biggest common factor number .

Step-1: Prime Factorization of 74081

Prime factors of 74081 are 7, 19, 557. Prime factorization of 74081 in exponential form is:

74081 = 7¹ × 19¹ × 557¹

Step-2: Prime Factorization of 74095

Prime factors of 74095 are 5, 7, 29, 73. Prime factorization of 74095 in exponential form is:

74095 = 5¹ × 7¹ × 29¹ × 73¹

Step-3: Factors of 74081

List of positive integer factors of 74081 that divides 74081 without a remainder.

1, 7, 19, 133, 557, 3899, 10583

Step-4: Factors of 74095

List of positive integer factors of 74095 that divides 74081 without a remainder.

1, 5, 7, 29, 35, 73, 145, 203, 365, 511, 1015, 2117, 2555, 10585, 14819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74081 and 74095. The biggest common factor number is the GCF number.
So the greatest common factor 74081 and 74095 is 7.

Also check out the Least Common Multiple of 74081 and 74095