What is the Greatest Common Factor of 31960 and 31973?

Greatest common factor (GCF) of 31960 and 31973 is 1.

GCF(31960,31973) = 1

We will now calculate the prime factors of 31960 and 31973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31960 and 31973.

How to find the GCF of 31960 and 31973?

We will first find the prime factorization of 31960 and 31973. After we will calculate the factors of 31960 and 31973 and find the biggest common factor number .

Step-1: Prime Factorization of 31960

Prime factors of 31960 are 2, 5, 17, 47. Prime factorization of 31960 in exponential form is:

31960 = 2³ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 31973

Prime factors of 31973 are 31973. Prime factorization of 31973 in exponential form is:

31973 = 31973¹

Step-3: Factors of 31960

List of positive integer factors of 31960 that divides 31960 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 47, 68, 85, 94, 136, 170, 188, 235, 340, 376, 470, 680, 799, 940, 1598, 1880, 3196, 3995, 6392, 7990, 15980

Step-4: Factors of 31973

List of positive integer factors of 31973 that divides 31960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31960 and 31973. The biggest common factor number is the GCF number.
So the greatest common factor 31960 and 31973 is 1.

Also check out the Least Common Multiple of 31960 and 31973