What is the Greatest Common Factor of 71509 and 71514?

Greatest common factor (GCF) of 71509 and 71514 is 1.

GCF(71509,71514) = 1

We will now calculate the prime factors of 71509 and 71514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71509 and 71514.

How to find the GCF of 71509 and 71514?

We will first find the prime factorization of 71509 and 71514. After we will calculate the factors of 71509 and 71514 and find the biggest common factor number .

Step-1: Prime Factorization of 71509

Prime factors of 71509 are 43, 1663. Prime factorization of 71509 in exponential form is:

71509 = 43¹ × 1663¹

Step-2: Prime Factorization of 71514

Prime factors of 71514 are 2, 3, 29, 137. Prime factorization of 71514 in exponential form is:

71514 = 2¹ × 3² × 29¹ × 137¹

Step-3: Factors of 71509

List of positive integer factors of 71509 that divides 71509 without a remainder.

1, 43, 1663

Step-4: Factors of 71514

List of positive integer factors of 71514 that divides 71509 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 137, 174, 261, 274, 411, 522, 822, 1233, 2466, 3973, 7946, 11919, 23838, 35757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71509 and 71514. The biggest common factor number is the GCF number.
So the greatest common factor 71509 and 71514 is 1.

Also check out the Least Common Multiple of 71509 and 71514