What is the Greatest Common Factor of 71609 and 71628?

Greatest common factor (GCF) of 71609 and 71628 is 1.

GCF(71609,71628) = 1

We will now calculate the prime factors of 71609 and 71628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71609 and 71628.

How to find the GCF of 71609 and 71628?

We will first find the prime factorization of 71609 and 71628. After we will calculate the factors of 71609 and 71628 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 71628

Prime factors of 71628 are 2, 3, 47, 127. Prime factorization of 71628 in exponential form is:

71628 = 2² × 3¹ × 47¹ × 127¹

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 71628

List of positive integer factors of 71628 that divides 71609 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 127, 141, 188, 254, 282, 381, 508, 564, 762, 1524, 5969, 11938, 17907, 23876, 35814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71609 and 71628. The biggest common factor number is the GCF number.
So the greatest common factor 71609 and 71628 is 1.

Also check out the Least Common Multiple of 71609 and 71628