What is the Greatest Common Factor of 30890 and 30910?

Greatest common factor (GCF) of 30890 and 30910 is 10.

GCF(30890,30910) = 10

We will now calculate the prime factors of 30890 and 30910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30890 and 30910.

How to find the GCF of 30890 and 30910?

We will first find the prime factorization of 30890 and 30910. After we will calculate the factors of 30890 and 30910 and find the biggest common factor number .

Step-1: Prime Factorization of 30890

Prime factors of 30890 are 2, 5, 3089. Prime factorization of 30890 in exponential form is:

30890 = 2¹ × 5¹ × 3089¹

Step-2: Prime Factorization of 30910

Prime factors of 30910 are 2, 5, 11, 281. Prime factorization of 30910 in exponential form is:

30910 = 2¹ × 5¹ × 11¹ × 281¹

Step-3: Factors of 30890

List of positive integer factors of 30890 that divides 30890 without a remainder.

1, 2, 5, 10, 3089, 6178, 15445

Step-4: Factors of 30910

List of positive integer factors of 30910 that divides 30890 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 281, 562, 1405, 2810, 3091, 6182, 15455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30890 and 30910. The biggest common factor number is the GCF number.
So the greatest common factor 30890 and 30910 is 10.

Also check out the Least Common Multiple of 30890 and 30910