What is the Greatest Common Factor of 59901 and 59918?
Greatest common factor (GCF) of 59901 and 59918 is 1.
GCF(59901,59918) = 1
We will now calculate the prime factors of 59901 and 59918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59901 and 59918.
How to find the GCF of 59901 and 59918?
We will first find the prime factorization of 59901 and 59918. After we will calculate the factors of 59901 and 59918 and find the biggest common factor number .
Step-1: Prime Factorization of 59901
Prime factors of 59901 are 3, 41, 487. Prime factorization of 59901 in exponential form is:
59901 = 31 × 411 × 4871
Step-2: Prime Factorization of 59918
Prime factors of 59918 are 2, 29959. Prime factorization of 59918 in exponential form is:
59918 = 21 × 299591
Step-3: Factors of 59901
List of positive integer factors of 59901 that divides 59901 without a remainder.
1, 3, 41, 123, 487, 1461, 19967
Step-4: Factors of 59918
List of positive integer factors of 59918 that divides 59901 without a remainder.
1, 2, 29959
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59901 and 59918. The biggest common factor number is the GCF number.
So the greatest common factor 59901 and 59918 is 1.
Also check out the Least Common Multiple of 59901 and 59918
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