What is the Greatest Common Factor of 74084 and 74090?

Greatest common factor (GCF) of 74084 and 74090 is 2.

GCF(74084,74090) = 2

We will now calculate the prime factors of 74084 and 74090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74084 and 74090.

How to find the GCF of 74084 and 74090?

We will first find the prime factorization of 74084 and 74090. After we will calculate the factors of 74084 and 74090 and find the biggest common factor number .

Step-1: Prime Factorization of 74084

Prime factors of 74084 are 2, 18521. Prime factorization of 74084 in exponential form is:

74084 = 2² × 18521¹

Step-2: Prime Factorization of 74090

Prime factors of 74090 are 2, 5, 31, 239. Prime factorization of 74090 in exponential form is:

74090 = 2¹ × 5¹ × 31¹ × 239¹

Step-3: Factors of 74084

List of positive integer factors of 74084 that divides 74084 without a remainder.

1, 2, 4, 18521, 37042

Step-4: Factors of 74090

List of positive integer factors of 74090 that divides 74084 without a remainder.

1, 2, 5, 10, 31, 62, 155, 239, 310, 478, 1195, 2390, 7409, 14818, 37045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74084 and 74090. The biggest common factor number is the GCF number.
So the greatest common factor 74084 and 74090 is 2.

Also check out the Least Common Multiple of 74084 and 74090