What is the Greatest Common Factor of 74069 and 74085?

Greatest common factor (GCF) of 74069 and 74085 is 1.

GCF(74069,74085) = 1

We will now calculate the prime factors of 74069 and 74085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74069 and 74085.

How to find the GCF of 74069 and 74085?

We will first find the prime factorization of 74069 and 74085. After we will calculate the factors of 74069 and 74085 and find the biggest common factor number .

Step-1: Prime Factorization of 74069

Prime factors of 74069 are 17, 4357. Prime factorization of 74069 in exponential form is:

74069 = 17¹ × 4357¹

Step-2: Prime Factorization of 74085

Prime factors of 74085 are 3, 5, 11, 449. Prime factorization of 74085 in exponential form is:

74085 = 3¹ × 5¹ × 11¹ × 449¹

Step-3: Factors of 74069

List of positive integer factors of 74069 that divides 74069 without a remainder.

1, 17, 4357

Step-4: Factors of 74085

List of positive integer factors of 74085 that divides 74069 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 449, 1347, 2245, 4939, 6735, 14817, 24695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74069 and 74085. The biggest common factor number is the GCF number.
So the greatest common factor 74069 and 74085 is 1.

Also check out the Least Common Multiple of 74069 and 74085