What is the Greatest Common Factor of 42191 and 42197?

Greatest common factor (GCF) of 42191 and 42197 is 1.

GCF(42191,42197) = 1

We will now calculate the prime factors of 42191 and 42197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42191 and 42197.

How to find the GCF of 42191 and 42197?

We will first find the prime factorization of 42191 and 42197. After we will calculate the factors of 42191 and 42197 and find the biggest common factor number .

Step-1: Prime Factorization of 42191

Prime factors of 42191 are 31, 1361. Prime factorization of 42191 in exponential form is:

42191 = 31¹ × 1361¹

Step-2: Prime Factorization of 42197

Prime factors of 42197 are 42197. Prime factorization of 42197 in exponential form is:

42197 = 42197¹

Step-3: Factors of 42191

List of positive integer factors of 42191 that divides 42191 without a remainder.

1, 31, 1361

Step-4: Factors of 42197

List of positive integer factors of 42197 that divides 42191 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42191 and 42197. The biggest common factor number is the GCF number.
So the greatest common factor 42191 and 42197 is 1.

Also check out the Least Common Multiple of 42191 and 42197