What is the Greatest Common Factor of 31030 and 31034?

Greatest common factor (GCF) of 31030 and 31034 is 2.

GCF(31030,31034) = 2

We will now calculate the prime factors of 31030 and 31034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31030 and 31034.

How to find the GCF of 31030 and 31034?

We will first find the prime factorization of 31030 and 31034. After we will calculate the factors of 31030 and 31034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31034

Prime factors of 31034 are 2, 59, 263. Prime factorization of 31034 in exponential form is:

31034 = 2¹ × 59¹ × 263¹

Step-3: Factors of 31030

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

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

Step-4: Factors of 31034

List of positive integer factors of 31034 that divides 31030 without a remainder.

1, 2, 59, 118, 263, 526, 15517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31030 and 31034. The biggest common factor number is the GCF number.
So the greatest common factor 31030 and 31034 is 2.

Also check out the Least Common Multiple of 31030 and 31034