What is the Greatest Common Factor of 71702 and 71720?

Greatest common factor (GCF) of 71702 and 71720 is 2.

GCF(71702,71720) = 2

We will now calculate the prime factors of 71702 and 71720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71702 and 71720.

How to find the GCF of 71702 and 71720?

We will first find the prime factorization of 71702 and 71720. After we will calculate the factors of 71702 and 71720 and find the biggest common factor number .

Step-1: Prime Factorization of 71702

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

71702 = 2¹ × 35851¹

Step-2: Prime Factorization of 71720

Prime factors of 71720 are 2, 5, 11, 163. Prime factorization of 71720 in exponential form is:

71720 = 2³ × 5¹ × 11¹ × 163¹

Step-3: Factors of 71702

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

1, 2, 35851

Step-4: Factors of 71720

List of positive integer factors of 71720 that divides 71702 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 163, 220, 326, 440, 652, 815, 1304, 1630, 1793, 3260, 3586, 6520, 7172, 8965, 14344, 17930, 35860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71702 and 71720. The biggest common factor number is the GCF number.
So the greatest common factor 71702 and 71720 is 2.

Also check out the Least Common Multiple of 71702 and 71720