What is the Greatest Common Factor of 81788 and 81804?
Greatest common factor (GCF) of 81788 and 81804 is 4.
GCF(81788,81804) = 4
We will now calculate the prime factors of 81788 and 81804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81788 and 81804.
How to find the GCF of 81788 and 81804?
We will first find the prime factorization of 81788 and 81804. After we will calculate the factors of 81788 and 81804 and find the biggest common factor number .
Step-1: Prime Factorization of 81788
Prime factors of 81788 are 2, 7, 23, 127. Prime factorization of 81788 in exponential form is:
81788 = 22 × 71 × 231 × 1271
Step-2: Prime Factorization of 81804
Prime factors of 81804 are 2, 3, 17, 401. Prime factorization of 81804 in exponential form is:
81804 = 22 × 31 × 171 × 4011
Step-3: Factors of 81788
List of positive integer factors of 81788 that divides 81788 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 127, 161, 254, 322, 508, 644, 889, 1778, 2921, 3556, 5842, 11684, 20447, 40894
Step-4: Factors of 81804
List of positive integer factors of 81804 that divides 81788 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 401, 802, 1203, 1604, 2406, 4812, 6817, 13634, 20451, 27268, 40902
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 81788 and 81804. The biggest common factor number is the GCF number.
So the greatest common factor 81788 and 81804 is 4.
Also check out the Least Common Multiple of 81788 and 81804
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