What is the Greatest Common Factor of 31024 and 31030?

Greatest common factor (GCF) of 31024 and 31030 is 2.

GCF(31024,31030) = 2

We will now calculate the prime factors of 31024 and 31030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31024 and 31030.

How to find the GCF of 31024 and 31030?

We will first find the prime factorization of 31024 and 31030. After we will calculate the factors of 31024 and 31030 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 31030

Prime factors of 31030 are 2, 5, 29, 107. Prime factorization of 31030 in exponential form is:

31030 = 2¹ × 5¹ × 29¹ × 107¹

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 31030

List of positive integer factors of 31030 that divides 31024 without a remainder.

1, 2, 5, 10, 29, 58, 107, 145, 214, 290, 535, 1070, 3103, 6206, 15515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31024 and 31030. The biggest common factor number is the GCF number.
So the greatest common factor 31024 and 31030 is 2.

Also check out the Least Common Multiple of 31024 and 31030