What is the Greatest Common Factor of 31020 and 31029?

Greatest common factor (GCF) of 31020 and 31029 is 3.

GCF(31020,31029) = 3

We will now calculate the prime factors of 31020 and 31029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31020 and 31029.

How to find the GCF of 31020 and 31029?

We will first find the prime factorization of 31020 and 31029. After we will calculate the factors of 31020 and 31029 and find the biggest common factor number .

Step-1: Prime Factorization of 31020

Prime factors of 31020 are 2, 3, 5, 11, 47. Prime factorization of 31020 in exponential form is:

31020 = 2² × 3¹ × 5¹ × 11¹ × 47¹

Step-2: Prime Factorization of 31029

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

31029 = 3¹ × 10343¹

Step-3: Factors of 31020

List of positive integer factors of 31020 that divides 31020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 47, 55, 60, 66, 94, 110, 132, 141, 165, 188, 220, 235, 282, 330, 470, 517, 564, 660, 705, 940, 1034, 1410, 1551, 2068, 2585, 2820, 3102, 5170, 6204, 7755, 10340, 15510

Step-4: Factors of 31029

List of positive integer factors of 31029 that divides 31020 without a remainder.

1, 3, 10343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31020 and 31029. The biggest common factor number is the GCF number.
So the greatest common factor 31020 and 31029 is 3.

Also check out the Least Common Multiple of 31020 and 31029