What is the Greatest Common Factor of 67954 and 67961?

Greatest common factor (GCF) of 67954 and 67961 is 1.

GCF(67954,67961) = 1

We will now calculate the prime factors of 67954 and 67961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67954 and 67961.

How to find the GCF of 67954 and 67961?

We will first find the prime factorization of 67954 and 67961. After we will calculate the factors of 67954 and 67961 and find the biggest common factor number .

Step-1: Prime Factorization of 67954

Prime factors of 67954 are 2, 61, 557. Prime factorization of 67954 in exponential form is:

67954 = 2¹ × 61¹ × 557¹

Step-2: Prime Factorization of 67961

Prime factors of 67961 are 67961. Prime factorization of 67961 in exponential form is:

67961 = 67961¹

Step-3: Factors of 67954

List of positive integer factors of 67954 that divides 67954 without a remainder.

1, 2, 61, 122, 557, 1114, 33977

Step-4: Factors of 67961

List of positive integer factors of 67961 that divides 67954 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67954 and 67961. The biggest common factor number is the GCF number.
So the greatest common factor 67954 and 67961 is 1.

Also check out the Least Common Multiple of 67954 and 67961