What is the Greatest Common Factor of 71274 and 71291?

Greatest common factor (GCF) of 71274 and 71291 is 1.

GCF(71274,71291) = 1

We will now calculate the prime factors of 71274 and 71291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71274 and 71291.

How to find the GCF of 71274 and 71291?

We will first find the prime factorization of 71274 and 71291. After we will calculate the factors of 71274 and 71291 and find the biggest common factor number .

Step-1: Prime Factorization of 71274

Prime factors of 71274 are 2, 3, 7, 1697. Prime factorization of 71274 in exponential form is:

71274 = 2¹ × 3¹ × 7¹ × 1697¹

Step-2: Prime Factorization of 71291

Prime factors of 71291 are 11, 6481. Prime factorization of 71291 in exponential form is:

71291 = 11¹ × 6481¹

Step-3: Factors of 71274

List of positive integer factors of 71274 that divides 71274 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1697, 3394, 5091, 10182, 11879, 23758, 35637

Step-4: Factors of 71291

List of positive integer factors of 71291 that divides 71274 without a remainder.

1, 11, 6481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71274 and 71291. The biggest common factor number is the GCF number.
So the greatest common factor 71274 and 71291 is 1.

Also check out the Least Common Multiple of 71274 and 71291