What is the Greatest Common Factor of 77941 and 77950?

Greatest common factor (GCF) of 77941 and 77950 is 1.

GCF(77941,77950) = 1

We will now calculate the prime factors of 77941 and 77950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77941 and 77950.

How to find the GCF of 77941 and 77950?

We will first find the prime factorization of 77941 and 77950. After we will calculate the factors of 77941 and 77950 and find the biggest common factor number .

Step-1: Prime Factorization of 77941

Prime factors of 77941 are 41, 1901. Prime factorization of 77941 in exponential form is:

77941 = 41¹ × 1901¹

Step-2: Prime Factorization of 77950

Prime factors of 77950 are 2, 5, 1559. Prime factorization of 77950 in exponential form is:

77950 = 2¹ × 5² × 1559¹

Step-3: Factors of 77941

List of positive integer factors of 77941 that divides 77941 without a remainder.

1, 41, 1901

Step-4: Factors of 77950

List of positive integer factors of 77950 that divides 77941 without a remainder.

1, 2, 5, 10, 25, 50, 1559, 3118, 7795, 15590, 38975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77941 and 77950. The biggest common factor number is the GCF number.
So the greatest common factor 77941 and 77950 is 1.

Also check out the Least Common Multiple of 77941 and 77950