What is the Greatest Common Factor of 71372 and 71382?

Greatest common factor (GCF) of 71372 and 71382 is 2.

GCF(71372,71382) = 2

We will now calculate the prime factors of 71372 and 71382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71372 and 71382.

How to find the GCF of 71372 and 71382?

We will first find the prime factorization of 71372 and 71382. After we will calculate the factors of 71372 and 71382 and find the biggest common factor number .

Step-1: Prime Factorization of 71372

Prime factors of 71372 are 2, 7, 2549. Prime factorization of 71372 in exponential form is:

71372 = 2² × 7¹ × 2549¹

Step-2: 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-3: Factors of 71372

List of positive integer factors of 71372 that divides 71372 without a remainder.

1, 2, 4, 7, 14, 28, 2549, 5098, 10196, 17843, 35686

Step-4: Factors of 71382

List of positive integer factors of 71382 that divides 71372 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71372 and 71382. The biggest common factor number is the GCF number.
So the greatest common factor 71372 and 71382 is 2.

Also check out the Least Common Multiple of 71372 and 71382