What is the Greatest Common Factor of 31464 and 31476?

Greatest common factor (GCF) of 31464 and 31476 is 12.

GCF(31464,31476) = 12

We will now calculate the prime factors of 31464 and 31476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31464 and 31476.

How to find the GCF of 31464 and 31476?

We will first find the prime factorization of 31464 and 31476. After we will calculate the factors of 31464 and 31476 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 31476

Prime factors of 31476 are 2, 3, 43, 61. Prime factorization of 31476 in exponential form is:

31476 = 2² × 3¹ × 43¹ × 61¹

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 31476

List of positive integer factors of 31476 that divides 31464 without a remainder.

1, 2, 3, 4, 6, 12, 43, 61, 86, 122, 129, 172, 183, 244, 258, 366, 516, 732, 2623, 5246, 7869, 10492, 15738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31464 and 31476. The biggest common factor number is the GCF number.
So the greatest common factor 31464 and 31476 is 12.

Also check out the Least Common Multiple of 31464 and 31476