What is the Greatest Common Factor of 31024 and 31036?

Greatest common factor (GCF) of 31024 and 31036 is 4.

GCF(31024,31036) = 4

We will now calculate the prime factors of 31024 and 31036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31024 and 31036.

How to find the GCF of 31024 and 31036?

We will first find the prime factorization of 31024 and 31036. After we will calculate the factors of 31024 and 31036 and find the biggest common factor number .

Step-1: Prime Factorization of 31024

Prime factors of 31024 are 2, 7, 277. Prime factorization of 31024 in exponential form is:

31024 = 2⁴ × 7¹ × 277¹

Step-2: Prime Factorization of 31036

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

31036 = 2² × 7759¹

Step-3: Factors of 31024

List of positive integer factors of 31024 that divides 31024 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 277, 554, 1108, 1939, 2216, 3878, 4432, 7756, 15512

Step-4: Factors of 31036

List of positive integer factors of 31036 that divides 31024 without a remainder.

1, 2, 4, 7759, 15518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31024 and 31036. The biggest common factor number is the GCF number.
So the greatest common factor 31024 and 31036 is 4.

Also check out the Least Common Multiple of 31024 and 31036