What is the Greatest Common Factor of 71382 and 71398?

Greatest common factor (GCF) of 71382 and 71398 is 2.

GCF(71382,71398) = 2

We will now calculate the prime factors of 71382 and 71398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71382 and 71398.

How to find the GCF of 71382 and 71398?

We will first find the prime factorization of 71382 and 71398. After we will calculate the factors of 71382 and 71398 and find the biggest common factor number .

Step-1: Prime Factorization of 71382

Prime factors of 71382 are 2, 3, 11897. Prime factorization of 71382 in exponential form is:

71382 = 2¹ × 3¹ × 11897¹

Step-2: Prime Factorization of 71398

Prime factors of 71398 are 2, 29, 1231. Prime factorization of 71398 in exponential form is:

71398 = 2¹ × 29¹ × 1231¹

Step-3: Factors of 71382

List of positive integer factors of 71382 that divides 71382 without a remainder.

1, 2, 3, 6, 11897, 23794, 35691

Step-4: Factors of 71398

List of positive integer factors of 71398 that divides 71382 without a remainder.

1, 2, 29, 58, 1231, 2462, 35699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71382 and 71398. The biggest common factor number is the GCF number.
So the greatest common factor 71382 and 71398 is 2.

Also check out the Least Common Multiple of 71382 and 71398