What is the Greatest Common Factor of 45365 and 45384?
Greatest common factor (GCF) of 45365 and 45384 is 1.
GCF(45365,45384) = 1
We will now calculate the prime factors of 45365 and 45384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45365 and 45384.
How to find the GCF of 45365 and 45384?
We will first find the prime factorization of 45365 and 45384. After we will calculate the factors of 45365 and 45384 and find the biggest common factor number .
Step-1: Prime Factorization of 45365
Prime factors of 45365 are 5, 43, 211. Prime factorization of 45365 in exponential form is:
45365 = 51 × 431 × 2111
Step-2: Prime Factorization of 45384
Prime factors of 45384 are 2, 3, 31, 61. Prime factorization of 45384 in exponential form is:
45384 = 23 × 31 × 311 × 611
Step-3: Factors of 45365
List of positive integer factors of 45365 that divides 45365 without a remainder.
1, 5, 43, 211, 215, 1055, 9073
Step-4: Factors of 45384
List of positive integer factors of 45384 that divides 45365 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 61, 62, 93, 122, 124, 183, 186, 244, 248, 366, 372, 488, 732, 744, 1464, 1891, 3782, 5673, 7564, 11346, 15128, 22692
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45365 and 45384. The biggest common factor number is the GCF number.
So the greatest common factor 45365 and 45384 is 1.
Also check out the Least Common Multiple of 45365 and 45384
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