What is the Greatest Common Factor of 950 and 956?
Greatest common factor (GCF) of 950 and 956 is 2.
GCF(950,956) = 2
We will now calculate the prime factors of 950 and 956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 950 and 956.
How to find the GCF of 950 and 956?
We will first find the prime factorization of 950 and 956. After we will calculate the factors of 950 and 956 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 956
Prime factors of 956 are 2, 239. Prime factorization of 956 in exponential form is:
956 = 22 × 2391
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 956
List of positive integer factors of 956 that divides 950 without a remainder.
1, 2, 4, 239, 478
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 950 and 956. The biggest common factor number is the GCF number.
So the greatest common factor 950 and 956 is 2.
Also check out the Least Common Multiple of 950 and 956
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