What is the Greatest Common Factor of 31552 and 31566?

Greatest common factor (GCF) of 31552 and 31566 is 2.

GCF(31552,31566) = 2

We will now calculate the prime factors of 31552 and 31566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31552 and 31566.

How to find the GCF of 31552 and 31566?

We will first find the prime factorization of 31552 and 31566. After we will calculate the factors of 31552 and 31566 and find the biggest common factor number .

Step-1: Prime Factorization of 31552

Prime factors of 31552 are 2, 17, 29. Prime factorization of 31552 in exponential form is:

31552 = 2⁶ × 17¹ × 29¹

Step-2: Prime Factorization of 31566

Prime factors of 31566 are 2, 3, 5261. Prime factorization of 31566 in exponential form is:

31566 = 2¹ × 3¹ × 5261¹

Step-3: Factors of 31552

List of positive integer factors of 31552 that divides 31552 without a remainder.

1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 64, 68, 116, 136, 232, 272, 464, 493, 544, 928, 986, 1088, 1856, 1972, 3944, 7888, 15776

Step-4: Factors of 31566

List of positive integer factors of 31566 that divides 31552 without a remainder.

1, 2, 3, 6, 5261, 10522, 15783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31552 and 31566. The biggest common factor number is the GCF number.
So the greatest common factor 31552 and 31566 is 2.

Also check out the Least Common Multiple of 31552 and 31566