What is the Greatest Common Factor of 71609 and 71616?

Greatest common factor (GCF) of 71609 and 71616 is 1.

GCF(71609,71616) = 1

We will now calculate the prime factors of 71609 and 71616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71609 and 71616.

How to find the GCF of 71609 and 71616?

We will first find the prime factorization of 71609 and 71616. After we will calculate the factors of 71609 and 71616 and find the biggest common factor number .

Step-1: Prime Factorization of 71609

Prime factors of 71609 are 101, 709. Prime factorization of 71609 in exponential form is:

71609 = 101¹ × 709¹

Step-2: Prime Factorization of 71616

Prime factors of 71616 are 2, 3, 373. Prime factorization of 71616 in exponential form is:

71616 = 2⁶ × 3¹ × 373¹

Step-3: Factors of 71609

List of positive integer factors of 71609 that divides 71609 without a remainder.

1, 101, 709

Step-4: Factors of 71616

List of positive integer factors of 71616 that divides 71609 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952, 11936, 17904, 23872, 35808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71609 and 71616. The biggest common factor number is the GCF number.
So the greatest common factor 71609 and 71616 is 1.

Also check out the Least Common Multiple of 71609 and 71616