What is the Greatest Common Factor of 71605 and 71624?

Greatest common factor (GCF) of 71605 and 71624 is 1.

GCF(71605,71624) = 1

We will now calculate the prime factors of 71605 and 71624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71605 and 71624.

How to find the GCF of 71605 and 71624?

We will first find the prime factorization of 71605 and 71624. After we will calculate the factors of 71605 and 71624 and find the biggest common factor number .

Step-1: Prime Factorization of 71605

Prime factors of 71605 are 5, 14321. Prime factorization of 71605 in exponential form is:

71605 = 5¹ × 14321¹

Step-2: Prime Factorization of 71624

Prime factors of 71624 are 2, 7, 1279. Prime factorization of 71624 in exponential form is:

71624 = 2³ × 7¹ × 1279¹

Step-3: Factors of 71605

List of positive integer factors of 71605 that divides 71605 without a remainder.

1, 5, 14321

Step-4: Factors of 71624

List of positive integer factors of 71624 that divides 71605 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1279, 2558, 5116, 8953, 10232, 17906, 35812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71605 and 71624. The biggest common factor number is the GCF number.
So the greatest common factor 71605 and 71624 is 1.

Also check out the Least Common Multiple of 71605 and 71624