What is the Greatest Common Factor of 31036 and 31048?

Greatest common factor (GCF) of 31036 and 31048 is 4.

GCF(31036,31048) = 4

We will now calculate the prime factors of 31036 and 31048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31036 and 31048.

How to find the GCF of 31036 and 31048?

We will first find the prime factorization of 31036 and 31048. After we will calculate the factors of 31036 and 31048 and find the biggest common factor number .

Step-1: Prime Factorization of 31036

Prime factors of 31036 are 2, 7759. Prime factorization of 31036 in exponential form is:

31036 = 2² × 7759¹

Step-2: Prime Factorization of 31048

Prime factors of 31048 are 2, 3881. Prime factorization of 31048 in exponential form is:

31048 = 2³ × 3881¹

Step-3: Factors of 31036

List of positive integer factors of 31036 that divides 31036 without a remainder.

1, 2, 4, 7759, 15518

Step-4: Factors of 31048

List of positive integer factors of 31048 that divides 31036 without a remainder.

1, 2, 4, 8, 3881, 7762, 15524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31036 and 31048. The biggest common factor number is the GCF number.
So the greatest common factor 31036 and 31048 is 4.

Also check out the Least Common Multiple of 31036 and 31048