What is the Greatest Common Factor of 11951 and 11960?
Greatest common factor (GCF) of 11951 and 11960 is 1.
GCF(11951,11960) = 1
We will now calculate the prime factors of 11951 and 11960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11951 and 11960.
How to find the GCF of 11951 and 11960?
We will first find the prime factorization of 11951 and 11960. After we will calculate the factors of 11951 and 11960 and find the biggest common factor number .
Step-1: Prime Factorization of 11951
Prime factors of 11951 are 17, 19, 37. Prime factorization of 11951 in exponential form is:
11951 = 171 × 191 × 371
Step-2: 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-3: Factors of 11951
List of positive integer factors of 11951 that divides 11951 without a remainder.
1, 17, 19, 37, 323, 629, 703
Step-4: Factors of 11960
List of positive integer factors of 11960 that divides 11951 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11951 and 11960. The biggest common factor number is the GCF number.
So the greatest common factor 11951 and 11960 is 1.
Also check out the Least Common Multiple of 11951 and 11960
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Related Greatest Common Factors of 11960
- GCF of 11960 and 11964
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- GCF of 11960 and 11972
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- GCF of 11960 and 11974
- GCF of 11960 and 11975
- GCF of 11960 and 11976
- GCF of 11960 and 11977
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