What is the Greatest Common Factor of 11960 and 11975?
Greatest common factor (GCF) of 11960 and 11975 is 5.
GCF(11960,11975) = 5
We will now calculate the prime factors of 11960 and 11975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11960 and 11975.
How to find the GCF of 11960 and 11975?
We will first find the prime factorization of 11960 and 11975. After we will calculate the factors of 11960 and 11975 and find the biggest common factor number .
Step-1: Prime Factorization of 11960
Prime factors of 11960 are 2, 5, 13, 23. Prime factorization of 11960 in exponential form is:
11960 = 23 × 51 × 131 × 231
Step-2: Prime Factorization of 11975
Prime factors of 11975 are 5, 479. Prime factorization of 11975 in exponential form is:
11975 = 52 × 4791
Step-3: Factors of 11960
List of positive integer factors of 11960 that divides 11960 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 23, 26, 40, 46, 52, 65, 92, 104, 115, 130, 184, 230, 260, 299, 460, 520, 598, 920, 1196, 1495, 2392, 2990, 5980
Step-4: Factors of 11975
List of positive integer factors of 11975 that divides 11960 without a remainder.
1, 5, 25, 479, 2395
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11960 and 11975. The biggest common factor number is the GCF number.
So the greatest common factor 11960 and 11975 is 5.
Also check out the Least Common Multiple of 11960 and 11975
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