What is the Greatest Common Factor of 71696 and 71702?

Greatest common factor (GCF) of 71696 and 71702 is 2.

GCF(71696,71702) = 2

We will now calculate the prime factors of 71696 and 71702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71696 and 71702.

How to find the GCF of 71696 and 71702?

We will first find the prime factorization of 71696 and 71702. After we will calculate the factors of 71696 and 71702 and find the biggest common factor number .

Step-1: Prime Factorization of 71696

Prime factors of 71696 are 2, 4481. Prime factorization of 71696 in exponential form is:

71696 = 2⁴ × 4481¹

Step-2: Prime Factorization of 71702

Prime factors of 71702 are 2, 35851. Prime factorization of 71702 in exponential form is:

71702 = 2¹ × 35851¹

Step-3: Factors of 71696

List of positive integer factors of 71696 that divides 71696 without a remainder.

1, 2, 4, 8, 16, 4481, 8962, 17924, 35848

Step-4: Factors of 71702

List of positive integer factors of 71702 that divides 71696 without a remainder.

1, 2, 35851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71696 and 71702. The biggest common factor number is the GCF number.
So the greatest common factor 71696 and 71702 is 2.

Also check out the Least Common Multiple of 71696 and 71702