What is the Greatest Common Factor of 45991 and 46007?
Greatest common factor (GCF) of 45991 and 46007 is 1.
GCF(45991,46007) = 1
We will now calculate the prime factors of 45991 and 46007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45991 and 46007.
How to find the GCF of 45991 and 46007?
We will first find the prime factorization of 45991 and 46007. After we will calculate the factors of 45991 and 46007 and find the biggest common factor number .
Step-1: Prime Factorization of 45991
Prime factors of 45991 are 11, 37, 113. Prime factorization of 45991 in exponential form is:
45991 = 111 × 371 × 1131
Step-2: Prime Factorization of 46007
Prime factors of 46007 are 13, 3539. Prime factorization of 46007 in exponential form is:
46007 = 131 × 35391
Step-3: Factors of 45991
List of positive integer factors of 45991 that divides 45991 without a remainder.
1, 11, 37, 113, 407, 1243, 4181
Step-4: Factors of 46007
List of positive integer factors of 46007 that divides 45991 without a remainder.
1, 13, 3539
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45991 and 46007. The biggest common factor number is the GCF number.
So the greatest common factor 45991 and 46007 is 1.
Also check out the Least Common Multiple of 45991 and 46007
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