What is the Greatest Common Factor of 31216 and 31224?

Greatest common factor (GCF) of 31216 and 31224 is 8.

GCF(31216,31224) = 8

We will now calculate the prime factors of 31216 and 31224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31216 and 31224.

How to find the GCF of 31216 and 31224?

We will first find the prime factorization of 31216 and 31224. After we will calculate the factors of 31216 and 31224 and find the biggest common factor number .

Step-1: Prime Factorization of 31216

Prime factors of 31216 are 2, 1951. Prime factorization of 31216 in exponential form is:

31216 = 2⁴ × 1951¹

Step-2: Prime Factorization of 31224

Prime factors of 31224 are 2, 3, 1301. Prime factorization of 31224 in exponential form is:

31224 = 2³ × 3¹ × 1301¹

Step-3: Factors of 31216

List of positive integer factors of 31216 that divides 31216 without a remainder.

1, 2, 4, 8, 16, 1951, 3902, 7804, 15608

Step-4: Factors of 31224

List of positive integer factors of 31224 that divides 31216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1301, 2602, 3903, 5204, 7806, 10408, 15612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31216 and 31224. The biggest common factor number is the GCF number.
So the greatest common factor 31216 and 31224 is 8.

Also check out the Least Common Multiple of 31216 and 31224