What is the Greatest Common Factor of 55752 and 55758?
Greatest common factor (GCF) of 55752 and 55758 is 6.
GCF(55752,55758) = 6
We will now calculate the prime factors of 55752 and 55758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55752 and 55758.
How to find the GCF of 55752 and 55758?
We will first find the prime factorization of 55752 and 55758. After we will calculate the factors of 55752 and 55758 and find the biggest common factor number .
Step-1: Prime Factorization of 55752
Prime factors of 55752 are 2, 3, 23, 101. Prime factorization of 55752 in exponential form is:
55752 = 23 × 31 × 231 × 1011
Step-2: Prime Factorization of 55758
Prime factors of 55758 are 2, 3, 9293. Prime factorization of 55758 in exponential form is:
55758 = 21 × 31 × 92931
Step-3: Factors of 55752
List of positive integer factors of 55752 that divides 55752 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 101, 138, 184, 202, 276, 303, 404, 552, 606, 808, 1212, 2323, 2424, 4646, 6969, 9292, 13938, 18584, 27876
Step-4: Factors of 55758
List of positive integer factors of 55758 that divides 55752 without a remainder.
1, 2, 3, 6, 9293, 18586, 27879
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55752 and 55758. The biggest common factor number is the GCF number.
So the greatest common factor 55752 and 55758 is 6.
Also check out the Least Common Multiple of 55752 and 55758
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