What is the Greatest Common Factor of 31820 and 31828?

Greatest common factor (GCF) of 31820 and 31828 is 4.

GCF(31820,31828) = 4

We will now calculate the prime factors of 31820 and 31828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31820 and 31828.

How to find the GCF of 31820 and 31828?

We will first find the prime factorization of 31820 and 31828. After we will calculate the factors of 31820 and 31828 and find the biggest common factor number .

Step-1: Prime Factorization of 31820

Prime factors of 31820 are 2, 5, 37, 43. Prime factorization of 31820 in exponential form is:

31820 = 2² × 5¹ × 37¹ × 43¹

Step-2: Prime Factorization of 31828

Prime factors of 31828 are 2, 73, 109. Prime factorization of 31828 in exponential form is:

31828 = 2² × 73¹ × 109¹

Step-3: Factors of 31820

List of positive integer factors of 31820 that divides 31820 without a remainder.

1, 2, 4, 5, 10, 20, 37, 43, 74, 86, 148, 172, 185, 215, 370, 430, 740, 860, 1591, 3182, 6364, 7955, 15910

Step-4: Factors of 31828

List of positive integer factors of 31828 that divides 31820 without a remainder.

1, 2, 4, 73, 109, 146, 218, 292, 436, 7957, 15914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31820 and 31828. The biggest common factor number is the GCF number.
So the greatest common factor 31820 and 31828 is 4.

Also check out the Least Common Multiple of 31820 and 31828