What is the Greatest Common Factor of 74290 and 74306?

Greatest common factor (GCF) of 74290 and 74306 is 2.

GCF(74290,74306) = 2

We will now calculate the prime factors of 74290 and 74306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74290 and 74306.

How to find the GCF of 74290 and 74306?

We will first find the prime factorization of 74290 and 74306. After we will calculate the factors of 74290 and 74306 and find the biggest common factor number .

Step-1: Prime Factorization of 74290

Prime factors of 74290 are 2, 5, 17, 19, 23. Prime factorization of 74290 in exponential form is:

74290 = 2¹ × 5¹ × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 74306

Prime factors of 74306 are 2, 53, 701. Prime factorization of 74306 in exponential form is:

74306 = 2¹ × 53¹ × 701¹

Step-3: Factors of 74290

List of positive integer factors of 74290 that divides 74290 without a remainder.

1, 2, 5, 10, 17, 19, 23, 34, 38, 46, 85, 95, 115, 170, 190, 230, 323, 391, 437, 646, 782, 874, 1615, 1955, 2185, 3230, 3910, 4370, 7429, 14858, 37145

Step-4: Factors of 74306

List of positive integer factors of 74306 that divides 74290 without a remainder.

1, 2, 53, 106, 701, 1402, 37153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74290 and 74306. The biggest common factor number is the GCF number.
So the greatest common factor 74290 and 74306 is 2.

Also check out the Least Common Multiple of 74290 and 74306