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What is the Greatest Common Factor of 941 and 950?

Greatest common factor (GCF) of 941 and 950 is 1.

GCF(941,950) = 1

We will now calculate the prime factors of 941 and 950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 941 and 950.

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How to find the GCF of 941 and 950?

We will first find the prime factorization of 941 and 950. After we will calculate the factors of 941 and 950 and find the biggest common factor number .

Step-1: Prime Factorization of 941

Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:

941 = 9411

Step-2: Prime Factorization of 950

Prime factors of 950 are 2, 5, 19. Prime factorization of 950 in exponential form is:

950 = 21 × 52 × 191

Step-3: Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1

Step-4: Factors of 950

List of positive integer factors of 950 that divides 941 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 941 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 941 and 950 is 1.

Also check out the Least Common Multiple of 941 and 950