What is the Greatest Common Factor of 31210 and 31216?

Greatest common factor (GCF) of 31210 and 31216 is 2.

GCF(31210,31216) = 2

We will now calculate the prime factors of 31210 and 31216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31210 and 31216.

How to find the GCF of 31210 and 31216?

We will first find the prime factorization of 31210 and 31216. After we will calculate the factors of 31210 and 31216 and find the biggest common factor number .

Step-1: Prime Factorization of 31210

Prime factors of 31210 are 2, 5, 3121. Prime factorization of 31210 in exponential form is:

31210 = 2¹ × 5¹ × 3121¹

Step-2: Prime Factorization of 31216

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

31216 = 2⁴ × 1951¹

Step-3: Factors of 31210

List of positive integer factors of 31210 that divides 31210 without a remainder.

1, 2, 5, 10, 3121, 6242, 15605

Step-4: Factors of 31216

List of positive integer factors of 31216 that divides 31210 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31210 and 31216. The biggest common factor number is the GCF number.
So the greatest common factor 31210 and 31216 is 2.

Also check out the Least Common Multiple of 31210 and 31216