What is the Greatest Common Factor of 74095 and 74109?

Greatest common factor (GCF) of 74095 and 74109 is 7.

GCF(74095,74109) = 7

We will now calculate the prime factors of 74095 and 74109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74095 and 74109.

How to find the GCF of 74095 and 74109?

We will first find the prime factorization of 74095 and 74109. After we will calculate the factors of 74095 and 74109 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 74095

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

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

Step-4: Factors of 74109

List of positive integer factors of 74109 that divides 74095 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74095 and 74109. The biggest common factor number is the GCF number.
So the greatest common factor 74095 and 74109 is 7.

Also check out the Least Common Multiple of 74095 and 74109