What is the Greatest Common Factor of 31758 and 31773?

Greatest common factor (GCF) of 31758 and 31773 is 3.

GCF(31758,31773) = 3

We will now calculate the prime factors of 31758 and 31773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31758 and 31773.

How to find the GCF of 31758 and 31773?

We will first find the prime factorization of 31758 and 31773. After we will calculate the factors of 31758 and 31773 and find the biggest common factor number .

Step-1: Prime Factorization of 31758

Prime factors of 31758 are 2, 3, 67, 79. Prime factorization of 31758 in exponential form is:

31758 = 2¹ × 3¹ × 67¹ × 79¹

Step-2: Prime Factorization of 31773

Prime factors of 31773 are 3, 7, 17, 89. Prime factorization of 31773 in exponential form is:

31773 = 3¹ × 7¹ × 17¹ × 89¹

Step-3: Factors of 31758

List of positive integer factors of 31758 that divides 31758 without a remainder.

1, 2, 3, 6, 67, 79, 134, 158, 201, 237, 402, 474, 5293, 10586, 15879

Step-4: Factors of 31773

List of positive integer factors of 31773 that divides 31758 without a remainder.

1, 3, 7, 17, 21, 51, 89, 119, 267, 357, 623, 1513, 1869, 4539, 10591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31758 and 31773. The biggest common factor number is the GCF number.
So the greatest common factor 31758 and 31773 is 3.

Also check out the Least Common Multiple of 31758 and 31773