What is the Greatest Common Factor of 30254 and 30260?

Greatest common factor (GCF) of 30254 and 30260 is 2.

GCF(30254,30260) = 2

We will now calculate the prime factors of 30254 and 30260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30254 and 30260.

How to find the GCF of 30254 and 30260?

We will first find the prime factorization of 30254 and 30260. After we will calculate the factors of 30254 and 30260 and find the biggest common factor number .

Step-1: Prime Factorization of 30254

Prime factors of 30254 are 2, 7, 2161. Prime factorization of 30254 in exponential form is:

30254 = 2¹ × 7¹ × 2161¹

Step-2: Prime Factorization of 30260

Prime factors of 30260 are 2, 5, 17, 89. Prime factorization of 30260 in exponential form is:

30260 = 2² × 5¹ × 17¹ × 89¹

Step-3: Factors of 30254

List of positive integer factors of 30254 that divides 30254 without a remainder.

1, 2, 7, 14, 2161, 4322, 15127

Step-4: Factors of 30260

List of positive integer factors of 30260 that divides 30254 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 89, 170, 178, 340, 356, 445, 890, 1513, 1780, 3026, 6052, 7565, 15130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30254 and 30260. The biggest common factor number is the GCF number.
So the greatest common factor 30254 and 30260 is 2.

Also check out the Least Common Multiple of 30254 and 30260