What is the Greatest Common Factor of 60087 and 60096?
Greatest common factor (GCF) of 60087 and 60096 is 3.
GCF(60087,60096) = 3
We will now calculate the prime factors of 60087 and 60096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60087 and 60096.
How to find the GCF of 60087 and 60096?
We will first find the prime factorization of 60087 and 60096. After we will calculate the factors of 60087 and 60096 and find the biggest common factor number .
Step-1: Prime Factorization of 60087
Prime factors of 60087 are 3, 20029. Prime factorization of 60087 in exponential form is:
60087 = 31 × 200291
Step-2: Prime Factorization of 60096
Prime factors of 60096 are 2, 3, 313. Prime factorization of 60096 in exponential form is:
60096 = 26 × 31 × 3131
Step-3: Factors of 60087
List of positive integer factors of 60087 that divides 60087 without a remainder.
1, 3, 20029
Step-4: Factors of 60096
List of positive integer factors of 60096 that divides 60087 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024, 20032, 30048
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 60087 and 60096. The biggest common factor number is the GCF number.
So the greatest common factor 60087 and 60096 is 3.
Also check out the Least Common Multiple of 60087 and 60096
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