What is the Greatest Common Factor of 45605 and 45616?
Greatest common factor (GCF) of 45605 and 45616 is 1.
GCF(45605,45616) = 1
We will now calculate the prime factors of 45605 and 45616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45605 and 45616.
How to find the GCF of 45605 and 45616?
We will first find the prime factorization of 45605 and 45616. After we will calculate the factors of 45605 and 45616 and find the biggest common factor number .
Step-1: Prime Factorization of 45605
Prime factors of 45605 are 5, 7, 1303. Prime factorization of 45605 in exponential form is:
45605 = 51 × 71 × 13031
Step-2: Prime Factorization of 45616
Prime factors of 45616 are 2, 2851. Prime factorization of 45616 in exponential form is:
45616 = 24 × 28511
Step-3: Factors of 45605
List of positive integer factors of 45605 that divides 45605 without a remainder.
1, 5, 7, 35, 1303, 6515, 9121
Step-4: Factors of 45616
List of positive integer factors of 45616 that divides 45605 without a remainder.
1, 2, 4, 8, 16, 2851, 5702, 11404, 22808
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45605 and 45616. The biggest common factor number is the GCF number.
So the greatest common factor 45605 and 45616 is 1.
Also check out the Least Common Multiple of 45605 and 45616
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