What is the Greatest Common Factor of 71642 and 71661?

Greatest common factor (GCF) of 71642 and 71661 is 1.

GCF(71642,71661) = 1

We will now calculate the prime factors of 71642 and 71661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71642 and 71661.

How to find the GCF of 71642 and 71661?

We will first find the prime factorization of 71642 and 71661. After we will calculate the factors of 71642 and 71661 and find the biggest common factor number .

Step-1: Prime Factorization of 71642

Prime factors of 71642 are 2, 113, 317. Prime factorization of 71642 in exponential form is:

71642 = 2¹ × 113¹ × 317¹

Step-2: Prime Factorization of 71661

Prime factors of 71661 are 3, 23887. Prime factorization of 71661 in exponential form is:

71661 = 3¹ × 23887¹

Step-3: Factors of 71642

List of positive integer factors of 71642 that divides 71642 without a remainder.

1, 2, 113, 226, 317, 634, 35821

Step-4: Factors of 71661

List of positive integer factors of 71661 that divides 71642 without a remainder.

1, 3, 23887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71642 and 71661. The biggest common factor number is the GCF number.
So the greatest common factor 71642 and 71661 is 1.

Also check out the Least Common Multiple of 71642 and 71661