What is the Greatest Common Factor of 950 and 960?
Greatest common factor (GCF) of 950 and 960 is 10.
GCF(950,960) = 10
We will now calculate the prime factors of 950 and 960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 950 and 960.
How to find the GCF of 950 and 960?
We will first find the prime factorization of 950 and 960. After we will calculate the factors of 950 and 960 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 960
Prime factors of 960 are 2, 3, 5. Prime factorization of 960 in exponential form is:
960 = 26 × 31 × 51
Step-3: Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475
Step-4: Factors of 960
List of positive integer factors of 960 that divides 950 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 950 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 950 and 960 is 10.
Also check out the Least Common Multiple of 950 and 960
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