What is the Greatest Common Factor of 30905 and 30910?

Greatest common factor (GCF) of 30905 and 30910 is 5.

GCF(30905,30910) = 5

We will now calculate the prime factors of 30905 and 30910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30905 and 30910.

How to find the GCF of 30905 and 30910?

We will first find the prime factorization of 30905 and 30910. After we will calculate the factors of 30905 and 30910 and find the biggest common factor number .

Step-1: Prime Factorization of 30905

Prime factors of 30905 are 5, 7, 883. Prime factorization of 30905 in exponential form is:

30905 = 5¹ × 7¹ × 883¹

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 30905

List of positive integer factors of 30905 that divides 30905 without a remainder.

1, 5, 7, 35, 883, 4415, 6181

Step-4: Factors of 30910

List of positive integer factors of 30910 that divides 30905 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 30905 and 30910. The biggest common factor number is the GCF number.
So the greatest common factor 30905 and 30910 is 5.

Also check out the Least Common Multiple of 30905 and 30910