What is the Greatest Common Factor of 31850 and 31862?

Greatest common factor (GCF) of 31850 and 31862 is 2.

GCF(31850,31862) = 2

We will now calculate the prime factors of 31850 and 31862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31850 and 31862.

How to find the GCF of 31850 and 31862?

We will first find the prime factorization of 31850 and 31862. After we will calculate the factors of 31850 and 31862 and find the biggest common factor number .

Step-1: Prime Factorization of 31850

Prime factors of 31850 are 2, 5, 7, 13. Prime factorization of 31850 in exponential form is:

31850 = 2¹ × 5² × 7² × 13¹

Step-2: Prime Factorization of 31862

Prime factors of 31862 are 2, 89, 179. Prime factorization of 31862 in exponential form is:

31862 = 2¹ × 89¹ × 179¹

Step-3: Factors of 31850

List of positive integer factors of 31850 that divides 31850 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 49, 50, 65, 70, 91, 98, 130, 175, 182, 245, 325, 350, 455, 490, 637, 650, 910, 1225, 1274, 2275, 2450, 3185, 4550, 6370, 15925

Step-4: Factors of 31862

List of positive integer factors of 31862 that divides 31850 without a remainder.

1, 2, 89, 178, 179, 358, 15931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31850 and 31862. The biggest common factor number is the GCF number.
So the greatest common factor 31850 and 31862 is 2.

Also check out the Least Common Multiple of 31850 and 31862