What is the Greatest Common Factor of 31603 and 31616?

Greatest common factor (GCF) of 31603 and 31616 is 13.

GCF(31603,31616) = 13

We will now calculate the prime factors of 31603 and 31616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31603 and 31616.

How to find the GCF of 31603 and 31616?

We will first find the prime factorization of 31603 and 31616. After we will calculate the factors of 31603 and 31616 and find the biggest common factor number .

Step-1: Prime Factorization of 31603

Prime factors of 31603 are 11, 13, 17. Prime factorization of 31603 in exponential form is:

31603 = 11¹ × 13² × 17¹

Step-2: Prime Factorization of 31616

Prime factors of 31616 are 2, 13, 19. Prime factorization of 31616 in exponential form is:

31616 = 2⁷ × 13¹ × 19¹

Step-3: Factors of 31603

List of positive integer factors of 31603 that divides 31603 without a remainder.

1, 11, 13, 17, 143, 169, 187, 221, 1859, 2431, 2873

Step-4: Factors of 31616

List of positive integer factors of 31616 that divides 31603 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 64, 76, 104, 128, 152, 208, 247, 304, 416, 494, 608, 832, 988, 1216, 1664, 1976, 2432, 3952, 7904, 15808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31603 and 31616. The biggest common factor number is the GCF number.
So the greatest common factor 31603 and 31616 is 13.

Also check out the Least Common Multiple of 31603 and 31616