What is the Greatest Common Factor of 71642 and 71660?

Greatest common factor (GCF) of 71642 and 71660 is 2.

GCF(71642,71660) = 2

We will now calculate the prime factors of 71642 and 71660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71642 and 71660.

How to find the GCF of 71642 and 71660?

We will first find the prime factorization of 71642 and 71660. After we will calculate the factors of 71642 and 71660 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 71660

Prime factors of 71660 are 2, 5, 3583. Prime factorization of 71660 in exponential form is:

71660 = 2² × 5¹ × 3583¹

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 71660

List of positive integer factors of 71660 that divides 71642 without a remainder.

1, 2, 4, 5, 10, 20, 3583, 7166, 14332, 17915, 35830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71642 and 71660. The biggest common factor number is the GCF number.
So the greatest common factor 71642 and 71660 is 2.

Also check out the Least Common Multiple of 71642 and 71660