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What is the Greatest Common Factor of 941 and 958?

Greatest common factor (GCF) of 941 and 958 is 1.

GCF(941,958) = 1

We will now calculate the prime factors of 941 and 958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 941 and 958.

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How to find the GCF of 941 and 958?

We will first find the prime factorization of 941 and 958. After we will calculate the factors of 941 and 958 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 958

Prime factors of 958 are 2, 479. Prime factorization of 958 in exponential form is:

958 = 21 × 4791

Step-3: Factors of 941

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

1

Step-4: Factors of 958

List of positive integer factors of 958 that divides 941 without a remainder.

1, 2, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 941 and 958. The biggest common factor number is the GCF number.
So the greatest common factor 941 and 958 is 1.

Also check out the Least Common Multiple of 941 and 958