What is the Greatest Common Factor of 31029 and 31038?

Greatest common factor (GCF) of 31029 and 31038 is 3.

GCF(31029,31038) = 3

We will now calculate the prime factors of 31029 and 31038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31029 and 31038.

How to find the GCF of 31029 and 31038?

We will first find the prime factorization of 31029 and 31038. After we will calculate the factors of 31029 and 31038 and find the biggest common factor number .

Step-1: Prime Factorization of 31029

Prime factors of 31029 are 3, 10343. Prime factorization of 31029 in exponential form is:

31029 = 3¹ × 10343¹

Step-2: Prime Factorization of 31038

Prime factors of 31038 are 2, 3, 7, 739. Prime factorization of 31038 in exponential form is:

31038 = 2¹ × 3¹ × 7¹ × 739¹

Step-3: Factors of 31029

List of positive integer factors of 31029 that divides 31029 without a remainder.

1, 3, 10343

Step-4: Factors of 31038

List of positive integer factors of 31038 that divides 31029 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 739, 1478, 2217, 4434, 5173, 10346, 15519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31029 and 31038. The biggest common factor number is the GCF number.
So the greatest common factor 31029 and 31038 is 3.

Also check out the Least Common Multiple of 31029 and 31038