What is the Greatest Common Factor of 31232 and 31242?

Greatest common factor (GCF) of 31232 and 31242 is 2.

GCF(31232,31242) = 2

We will now calculate the prime factors of 31232 and 31242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31232 and 31242.

How to find the GCF of 31232 and 31242?

We will first find the prime factorization of 31232 and 31242. After we will calculate the factors of 31232 and 31242 and find the biggest common factor number .

Step-1: Prime Factorization of 31232

Prime factors of 31232 are 2, 61. Prime factorization of 31232 in exponential form is:

31232 = 2⁹ × 61¹

Step-2: Prime Factorization of 31242

Prime factors of 31242 are 2, 3, 41, 127. Prime factorization of 31242 in exponential form is:

31242 = 2¹ × 3¹ × 41¹ × 127¹

Step-3: Factors of 31232

List of positive integer factors of 31232 that divides 31232 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1952, 3904, 7808, 15616

Step-4: Factors of 31242

List of positive integer factors of 31242 that divides 31232 without a remainder.

1, 2, 3, 6, 41, 82, 123, 127, 246, 254, 381, 762, 5207, 10414, 15621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31232 and 31242. The biggest common factor number is the GCF number.
So the greatest common factor 31232 and 31242 is 2.

Also check out the Least Common Multiple of 31232 and 31242