What is the Greatest Common Factor of 55805 and 55824?
Greatest common factor (GCF) of 55805 and 55824 is 1.
GCF(55805,55824) = 1
We will now calculate the prime factors of 55805 and 55824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55805 and 55824.
How to find the GCF of 55805 and 55824?
We will first find the prime factorization of 55805 and 55824. After we will calculate the factors of 55805 and 55824 and find the biggest common factor number .
Step-1: Prime Factorization of 55805
Prime factors of 55805 are 5, 11161. Prime factorization of 55805 in exponential form is:
55805 = 51 × 111611
Step-2: Prime Factorization of 55824
Prime factors of 55824 are 2, 3, 1163. Prime factorization of 55824 in exponential form is:
55824 = 24 × 31 × 11631
Step-3: Factors of 55805
List of positive integer factors of 55805 that divides 55805 without a remainder.
1, 5, 11161
Step-4: Factors of 55824
List of positive integer factors of 55824 that divides 55805 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1163, 2326, 3489, 4652, 6978, 9304, 13956, 18608, 27912
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55805 and 55824. The biggest common factor number is the GCF number.
So the greatest common factor 55805 and 55824 is 1.
Also check out the Least Common Multiple of 55805 and 55824
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