What is the Greatest Common Factor of 31236 and 31255?

Greatest common factor (GCF) of 31236 and 31255 is 19.

GCF(31236,31255) = 19

We will now calculate the prime factors of 31236 and 31255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31236 and 31255.

How to find the GCF of 31236 and 31255?

We will first find the prime factorization of 31236 and 31255. After we will calculate the factors of 31236 and 31255 and find the biggest common factor number .

Step-1: Prime Factorization of 31236

Prime factors of 31236 are 2, 3, 19, 137. Prime factorization of 31236 in exponential form is:

31236 = 2² × 3¹ × 19¹ × 137¹

Step-2: Prime Factorization of 31255

Prime factors of 31255 are 5, 7, 19, 47. Prime factorization of 31255 in exponential form is:

31255 = 5¹ × 7¹ × 19¹ × 47¹

Step-3: Factors of 31236

List of positive integer factors of 31236 that divides 31236 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 137, 228, 274, 411, 548, 822, 1644, 2603, 5206, 7809, 10412, 15618

Step-4: Factors of 31255

List of positive integer factors of 31255 that divides 31236 without a remainder.

1, 5, 7, 19, 35, 47, 95, 133, 235, 329, 665, 893, 1645, 4465, 6251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31236 and 31255. The biggest common factor number is the GCF number.
So the greatest common factor 31236 and 31255 is 19.

Also check out the Least Common Multiple of 31236 and 31255