What is the Greatest Common Factor of 31828 and 31848?

Greatest common factor (GCF) of 31828 and 31848 is 4.

GCF(31828,31848) = 4

We will now calculate the prime factors of 31828 and 31848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31828 and 31848.

How to find the GCF of 31828 and 31848?

We will first find the prime factorization of 31828 and 31848. After we will calculate the factors of 31828 and 31848 and find the biggest common factor number .

Step-1: Prime Factorization of 31828

Prime factors of 31828 are 2, 73, 109. Prime factorization of 31828 in exponential form is:

31828 = 2² × 73¹ × 109¹

Step-2: Prime Factorization of 31848

Prime factors of 31848 are 2, 3, 1327. Prime factorization of 31848 in exponential form is:

31848 = 2³ × 3¹ × 1327¹

Step-3: Factors of 31828

List of positive integer factors of 31828 that divides 31828 without a remainder.

1, 2, 4, 73, 109, 146, 218, 292, 436, 7957, 15914

Step-4: Factors of 31848

List of positive integer factors of 31848 that divides 31828 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1327, 2654, 3981, 5308, 7962, 10616, 15924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31828 and 31848. The biggest common factor number is the GCF number.
So the greatest common factor 31828 and 31848 is 4.

Also check out the Least Common Multiple of 31828 and 31848