What is the Greatest Common Factor of 30898 and 30905?

Greatest common factor (GCF) of 30898 and 30905 is 7.

GCF(30898,30905) = 7

We will now calculate the prime factors of 30898 and 30905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30898 and 30905.

How to find the GCF of 30898 and 30905?

We will first find the prime factorization of 30898 and 30905. After we will calculate the factors of 30898 and 30905 and find the biggest common factor number .

Step-1: Prime Factorization of 30898

Prime factors of 30898 are 2, 7, 2207. Prime factorization of 30898 in exponential form is:

30898 = 2¹ × 7¹ × 2207¹

Step-2: 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-3: Factors of 30898

List of positive integer factors of 30898 that divides 30898 without a remainder.

1, 2, 7, 14, 2207, 4414, 15449

Step-4: Factors of 30905

List of positive integer factors of 30905 that divides 30898 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30898 and 30905. The biggest common factor number is the GCF number.
So the greatest common factor 30898 and 30905 is 7.

Also check out the Least Common Multiple of 30898 and 30905