What is the Greatest Common Factor of 71491 and 71498?

Greatest common factor (GCF) of 71491 and 71498 is 7.

GCF(71491,71498) = 7

We will now calculate the prime factors of 71491 and 71498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71491 and 71498.

How to find the GCF of 71491 and 71498?

We will first find the prime factorization of 71491 and 71498. After we will calculate the factors of 71491 and 71498 and find the biggest common factor number .

Step-1: Prime Factorization of 71491

Prime factors of 71491 are 7, 1459. Prime factorization of 71491 in exponential form is:

71491 = 7² × 1459¹

Step-2: Prime Factorization of 71498

Prime factors of 71498 are 2, 7, 5107. Prime factorization of 71498 in exponential form is:

71498 = 2¹ × 7¹ × 5107¹

Step-3: Factors of 71491

List of positive integer factors of 71491 that divides 71491 without a remainder.

1, 7, 49, 1459, 10213

Step-4: Factors of 71498

List of positive integer factors of 71498 that divides 71491 without a remainder.

1, 2, 7, 14, 5107, 10214, 35749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71491 and 71498. The biggest common factor number is the GCF number.
So the greatest common factor 71491 and 71498 is 7.

Also check out the Least Common Multiple of 71491 and 71498