What is the Greatest Common Factor of 71546 and 71564?

Greatest common factor (GCF) of 71546 and 71564 is 2.

GCF(71546,71564) = 2

We will now calculate the prime factors of 71546 and 71564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71546 and 71564.

How to find the GCF of 71546 and 71564?

We will first find the prime factorization of 71546 and 71564. After we will calculate the factors of 71546 and 71564 and find the biggest common factor number .

Step-1: Prime Factorization of 71546

Prime factors of 71546 are 2, 83, 431. Prime factorization of 71546 in exponential form is:

71546 = 2¹ × 83¹ × 431¹

Step-2: Prime Factorization of 71564

Prime factors of 71564 are 2, 17891. Prime factorization of 71564 in exponential form is:

71564 = 2² × 17891¹

Step-3: Factors of 71546

List of positive integer factors of 71546 that divides 71546 without a remainder.

1, 2, 83, 166, 431, 862, 35773

Step-4: Factors of 71564

List of positive integer factors of 71564 that divides 71546 without a remainder.

1, 2, 4, 17891, 35782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71546 and 71564. The biggest common factor number is the GCF number.
So the greatest common factor 71546 and 71564 is 2.

Also check out the Least Common Multiple of 71546 and 71564