What is the Greatest Common Factor of 71624 and 71638?

Greatest common factor (GCF) of 71624 and 71638 is 14.

GCF(71624,71638) = 14

We will now calculate the prime factors of 71624 and 71638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71624 and 71638.

How to find the GCF of 71624 and 71638?

We will first find the prime factorization of 71624 and 71638. After we will calculate the factors of 71624 and 71638 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71638

Prime factors of 71638 are 2, 7, 17, 43. Prime factorization of 71638 in exponential form is:

71638 = 2¹ × 7² × 17¹ × 43¹

Step-3: Factors of 71624

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

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

Step-4: Factors of 71638

List of positive integer factors of 71638 that divides 71624 without a remainder.

1, 2, 7, 14, 17, 34, 43, 49, 86, 98, 119, 238, 301, 602, 731, 833, 1462, 1666, 2107, 4214, 5117, 10234, 35819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71624 and 71638. The biggest common factor number is the GCF number.
So the greatest common factor 71624 and 71638 is 14.

Also check out the Least Common Multiple of 71624 and 71638