What is the Greatest Common Factor of 31798 and 31808?

Greatest common factor (GCF) of 31798 and 31808 is 2.

GCF(31798,31808) = 2

We will now calculate the prime factors of 31798 and 31808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31798 and 31808.

How to find the GCF of 31798 and 31808?

We will first find the prime factorization of 31798 and 31808. After we will calculate the factors of 31798 and 31808 and find the biggest common factor number .

Step-1: Prime Factorization of 31798

Prime factors of 31798 are 2, 13, 1223. Prime factorization of 31798 in exponential form is:

31798 = 2¹ × 13¹ × 1223¹

Step-2: Prime Factorization of 31808

Prime factors of 31808 are 2, 7, 71. Prime factorization of 31808 in exponential form is:

31808 = 2⁶ × 7¹ × 71¹

Step-3: Factors of 31798

List of positive integer factors of 31798 that divides 31798 without a remainder.

1, 2, 13, 26, 1223, 2446, 15899

Step-4: Factors of 31808

List of positive integer factors of 31808 that divides 31798 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 71, 112, 142, 224, 284, 448, 497, 568, 994, 1136, 1988, 2272, 3976, 4544, 7952, 15904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31798 and 31808. The biggest common factor number is the GCF number.
So the greatest common factor 31798 and 31808 is 2.

Also check out the Least Common Multiple of 31798 and 31808