What is the Greatest Common Factor of 71673 and 71687?

Greatest common factor (GCF) of 71673 and 71687 is 7.

GCF(71673,71687) = 7

We will now calculate the prime factors of 71673 and 71687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71673 and 71687.

How to find the GCF of 71673 and 71687?

We will first find the prime factorization of 71673 and 71687. After we will calculate the factors of 71673 and 71687 and find the biggest common factor number .

Step-1: Prime Factorization of 71673

Prime factors of 71673 are 3, 7, 3413. Prime factorization of 71673 in exponential form is:

71673 = 3¹ × 7¹ × 3413¹

Step-2: Prime Factorization of 71687

Prime factors of 71687 are 7, 11, 19. Prime factorization of 71687 in exponential form is:

71687 = 7³ × 11¹ × 19¹

Step-3: Factors of 71673

List of positive integer factors of 71673 that divides 71673 without a remainder.

1, 3, 7, 21, 3413, 10239, 23891

Step-4: Factors of 71687

List of positive integer factors of 71687 that divides 71673 without a remainder.

1, 7, 11, 19, 49, 77, 133, 209, 343, 539, 931, 1463, 3773, 6517, 10241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71673 and 71687. The biggest common factor number is the GCF number.
So the greatest common factor 71673 and 71687 is 7.

Also check out the Least Common Multiple of 71673 and 71687