What is the Greatest Common Factor of 42973 and 42991?

Greatest common factor (GCF) of 42973 and 42991 is 1.

GCF(42973,42991) = 1

We will now calculate the prime factors of 42973 and 42991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42973 and 42991.

How to find the GCF of 42973 and 42991?

We will first find the prime factorization of 42973 and 42991. After we will calculate the factors of 42973 and 42991 and find the biggest common factor number .

Step-1: Prime Factorization of 42973

Prime factors of 42973 are 7, 877. Prime factorization of 42973 in exponential form is:

42973 = 7² × 877¹

Step-2: Prime Factorization of 42991

Prime factors of 42991 are 13, 3307. Prime factorization of 42991 in exponential form is:

42991 = 13¹ × 3307¹

Step-3: Factors of 42973

List of positive integer factors of 42973 that divides 42973 without a remainder.

1, 7, 49, 877, 6139

Step-4: Factors of 42991

List of positive integer factors of 42991 that divides 42973 without a remainder.

1, 13, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42973 and 42991. The biggest common factor number is the GCF number.
So the greatest common factor 42973 and 42991 is 1.

Also check out the Least Common Multiple of 42973 and 42991