What is the Greatest Common Factor of 71684 and 71688?

Greatest common factor (GCF) of 71684 and 71688 is 4.

GCF(71684,71688) = 4

We will now calculate the prime factors of 71684 and 71688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71684 and 71688.

How to find the GCF of 71684 and 71688?

We will first find the prime factorization of 71684 and 71688. After we will calculate the factors of 71684 and 71688 and find the biggest common factor number .

Step-1: Prime Factorization of 71684

Prime factors of 71684 are 2, 17921. Prime factorization of 71684 in exponential form is:

71684 = 2² × 17921¹

Step-2: Prime Factorization of 71688

Prime factors of 71688 are 2, 3, 29, 103. Prime factorization of 71688 in exponential form is:

71688 = 2³ × 3¹ × 29¹ × 103¹

Step-3: Factors of 71684

List of positive integer factors of 71684 that divides 71684 without a remainder.

1, 2, 4, 17921, 35842

Step-4: Factors of 71688

List of positive integer factors of 71688 that divides 71684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 103, 116, 174, 206, 232, 309, 348, 412, 618, 696, 824, 1236, 2472, 2987, 5974, 8961, 11948, 17922, 23896, 35844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71684 and 71688. The biggest common factor number is the GCF number.
So the greatest common factor 71684 and 71688 is 4.

Also check out the Least Common Multiple of 71684 and 71688