What is the Greatest Common Factor of 42946 and 42961?

Greatest common factor (GCF) of 42946 and 42961 is 1.

GCF(42946,42961) = 1

We will now calculate the prime factors of 42946 and 42961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42946 and 42961.

How to find the GCF of 42946 and 42961?

We will first find the prime factorization of 42946 and 42961. After we will calculate the factors of 42946 and 42961 and find the biggest common factor number .

Step-1: Prime Factorization of 42946

Prime factors of 42946 are 2, 109, 197. Prime factorization of 42946 in exponential form is:

42946 = 2¹ × 109¹ × 197¹

Step-2: Prime Factorization of 42961

Prime factors of 42961 are 42961. Prime factorization of 42961 in exponential form is:

42961 = 42961¹

Step-3: Factors of 42946

List of positive integer factors of 42946 that divides 42946 without a remainder.

1, 2, 109, 197, 218, 394, 21473

Step-4: Factors of 42961

List of positive integer factors of 42961 that divides 42946 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42946 and 42961. The biggest common factor number is the GCF number.
So the greatest common factor 42946 and 42961 is 1.

Also check out the Least Common Multiple of 42946 and 42961