What is the Greatest Common Factor of 31464 and 31475?

Greatest common factor (GCF) of 31464 and 31475 is 1.

GCF(31464,31475) = 1

We will now calculate the prime factors of 31464 and 31475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31464 and 31475.

How to find the GCF of 31464 and 31475?

We will first find the prime factorization of 31464 and 31475. After we will calculate the factors of 31464 and 31475 and find the biggest common factor number .

Step-1: Prime Factorization of 31464

Prime factors of 31464 are 2, 3, 19, 23. Prime factorization of 31464 in exponential form is:

31464 = 2³ × 3² × 19¹ × 23¹

Step-2: Prime Factorization of 31475

Prime factors of 31475 are 5, 1259. Prime factorization of 31475 in exponential form is:

31475 = 5² × 1259¹

Step-3: Factors of 31464

List of positive integer factors of 31464 that divides 31464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732

Step-4: Factors of 31475

List of positive integer factors of 31475 that divides 31464 without a remainder.

1, 5, 25, 1259, 6295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31464 and 31475. The biggest common factor number is the GCF number.
So the greatest common factor 31464 and 31475 is 1.

Also check out the Least Common Multiple of 31464 and 31475