What is the Greatest Common Factor of 96950 and 96961?

Greatest common factor (GCF) of 96950 and 96961 is 1.

GCF(96950,96961) = 1

We will now calculate the prime factors of 96950 and 96961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96950 and 96961.

How to find the GCF of 96950 and 96961?

We will first find the prime factorization of 96950 and 96961. After we will calculate the factors of 96950 and 96961 and find the biggest common factor number .

Step-1: Prime Factorization of 96950

Prime factors of 96950 are 2, 5, 7, 277. Prime factorization of 96950 in exponential form is:

96950 = 2¹ × 5² × 7¹ × 277¹

Step-2: Prime Factorization of 96961

Prime factors of 96961 are 47, 2063. Prime factorization of 96961 in exponential form is:

96961 = 47¹ × 2063¹

Step-3: Factors of 96950

List of positive integer factors of 96950 that divides 96950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 277, 350, 554, 1385, 1939, 2770, 3878, 6925, 9695, 13850, 19390, 48475

Step-4: Factors of 96961

List of positive integer factors of 96961 that divides 96950 without a remainder.

1, 47, 2063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96950 and 96961. The biggest common factor number is the GCF number.
So the greatest common factor 96950 and 96961 is 1.

Also check out the Least Common Multiple of 96950 and 96961