What is the Greatest Common Factor of 46251 and 46264?
Greatest common factor (GCF) of 46251 and 46264 is 1.
GCF(46251,46264) = 1
We will now calculate the prime factors of 46251 and 46264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46251 and 46264.
How to find the GCF of 46251 and 46264?
We will first find the prime factorization of 46251 and 46264. After we will calculate the factors of 46251 and 46264 and find the biggest common factor number .
Step-1: Prime Factorization of 46251
Prime factors of 46251 are 3, 571. Prime factorization of 46251 in exponential form is:
46251 = 34 × 5711
Step-2: Prime Factorization of 46264
Prime factors of 46264 are 2, 5783. Prime factorization of 46264 in exponential form is:
46264 = 23 × 57831
Step-3: Factors of 46251
List of positive integer factors of 46251 that divides 46251 without a remainder.
1, 3, 9, 27, 81, 571, 1713, 5139, 15417
Step-4: Factors of 46264
List of positive integer factors of 46264 that divides 46251 without a remainder.
1, 2, 4, 8, 5783, 11566, 23132
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 46251 and 46264. The biggest common factor number is the GCF number.
So the greatest common factor 46251 and 46264 is 1.
Also check out the Least Common Multiple of 46251 and 46264
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