What is the Greatest Common Factor of 71372 and 71386?

Greatest common factor (GCF) of 71372 and 71386 is 14.

GCF(71372,71386) = 14

We will now calculate the prime factors of 71372 and 71386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71372 and 71386.

How to find the GCF of 71372 and 71386?

We will first find the prime factorization of 71372 and 71386. After we will calculate the factors of 71372 and 71386 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 71386

Prime factors of 71386 are 2, 7, 5099. Prime factorization of 71386 in exponential form is:

71386 = 2¹ × 7¹ × 5099¹

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 71386

List of positive integer factors of 71386 that divides 71372 without a remainder.

1, 2, 7, 14, 5099, 10198, 35693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71372 and 71386. The biggest common factor number is the GCF number.
So the greatest common factor 71372 and 71386 is 14.

Also check out the Least Common Multiple of 71372 and 71386