What is the Greatest Common Factor of 65980 and 65997?
Greatest common factor (GCF) of 65980 and 65997 is 1.
GCF(65980,65997) = 1
We will now calculate the prime factors of 65980 and 65997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65980 and 65997.
How to find the GCF of 65980 and 65997?
We will first find the prime factorization of 65980 and 65997. After we will calculate the factors of 65980 and 65997 and find the biggest common factor number .
Step-1: Prime Factorization of 65980
Prime factors of 65980 are 2, 5, 3299. Prime factorization of 65980 in exponential form is:
65980 = 22 × 51 × 32991
Step-2: Prime Factorization of 65997
Prime factors of 65997 are 3, 7333. Prime factorization of 65997 in exponential form is:
65997 = 32 × 73331
Step-3: Factors of 65980
List of positive integer factors of 65980 that divides 65980 without a remainder.
1, 2, 4, 5, 10, 20, 3299, 6598, 13196, 16495, 32990
Step-4: Factors of 65997
List of positive integer factors of 65997 that divides 65980 without a remainder.
1, 3, 9, 7333, 21999
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65980 and 65997. The biggest common factor number is the GCF number.
So the greatest common factor 65980 and 65997 is 1.
Also check out the Least Common Multiple of 65980 and 65997
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