What is the Greatest Common Factor of 30554 and 30562?

Greatest common factor (GCF) of 30554 and 30562 is 2.

GCF(30554,30562) = 2

We will now calculate the prime factors of 30554 and 30562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30554 and 30562.

How to find the GCF of 30554 and 30562?

We will first find the prime factorization of 30554 and 30562. After we will calculate the factors of 30554 and 30562 and find the biggest common factor number .

Step-1: Prime Factorization of 30554

Prime factors of 30554 are 2, 15277. Prime factorization of 30554 in exponential form is:

30554 = 2¹ × 15277¹

Step-2: Prime Factorization of 30562

Prime factors of 30562 are 2, 7, 37, 59. Prime factorization of 30562 in exponential form is:

30562 = 2¹ × 7¹ × 37¹ × 59¹

Step-3: Factors of 30554

List of positive integer factors of 30554 that divides 30554 without a remainder.

1, 2, 15277

Step-4: Factors of 30562

List of positive integer factors of 30562 that divides 30554 without a remainder.

1, 2, 7, 14, 37, 59, 74, 118, 259, 413, 518, 826, 2183, 4366, 15281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30554 and 30562. The biggest common factor number is the GCF number.
So the greatest common factor 30554 and 30562 is 2.

Also check out the Least Common Multiple of 30554 and 30562