What is the Greatest Common Factor of 71358 and 71372?

Greatest common factor (GCF) of 71358 and 71372 is 14.

GCF(71358,71372) = 14

We will now calculate the prime factors of 71358 and 71372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71358 and 71372.

How to find the GCF of 71358 and 71372?

We will first find the prime factorization of 71358 and 71372. After we will calculate the factors of 71358 and 71372 and find the biggest common factor number .

Step-1: Prime Factorization of 71358

Prime factors of 71358 are 2, 3, 7, 1699. Prime factorization of 71358 in exponential form is:

71358 = 2¹ × 3¹ × 7¹ × 1699¹

Step-2: 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-3: Factors of 71358

List of positive integer factors of 71358 that divides 71358 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1699, 3398, 5097, 10194, 11893, 23786, 35679

Step-4: Factors of 71372

List of positive integer factors of 71372 that divides 71358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71358 and 71372. The biggest common factor number is the GCF number.
So the greatest common factor 71358 and 71372 is 14.

Also check out the Least Common Multiple of 71358 and 71372