What is the Greatest Common Factor of 31552 and 31568?

Greatest common factor (GCF) of 31552 and 31568 is 16.

GCF(31552,31568) = 16

We will now calculate the prime factors of 31552 and 31568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31552 and 31568.

How to find the GCF of 31552 and 31568?

We will first find the prime factorization of 31552 and 31568. After we will calculate the factors of 31552 and 31568 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 31568

Prime factors of 31568 are 2, 1973. Prime factorization of 31568 in exponential form is:

31568 = 2⁴ × 1973¹

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 31568

List of positive integer factors of 31568 that divides 31552 without a remainder.

1, 2, 4, 8, 16, 1973, 3946, 7892, 15784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31552 and 31568. The biggest common factor number is the GCF number.
So the greatest common factor 31552 and 31568 is 16.

Also check out the Least Common Multiple of 31552 and 31568