What is the Greatest Common Factor of 91968 and 91977?
Greatest common factor (GCF) of 91968 and 91977 is 3.
GCF(91968,91977) = 3
We will now calculate the prime factors of 91968 and 91977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91968 and 91977.
How to find the GCF of 91968 and 91977?
We will first find the prime factorization of 91968 and 91977. After we will calculate the factors of 91968 and 91977 and find the biggest common factor number .
Step-1: Prime Factorization of 91968
Prime factors of 91968 are 2, 3, 479. Prime factorization of 91968 in exponential form is:
91968 = 26 × 31 × 4791
Step-2: Prime Factorization of 91977
Prime factors of 91977 are 3, 23, 31, 43. Prime factorization of 91977 in exponential form is:
91977 = 31 × 231 × 311 × 431
Step-3: Factors of 91968
List of positive integer factors of 91968 that divides 91968 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 479, 958, 1437, 1916, 2874, 3832, 5748, 7664, 11496, 15328, 22992, 30656, 45984
Step-4: Factors of 91977
List of positive integer factors of 91977 that divides 91968 without a remainder.
1, 3, 23, 31, 43, 69, 93, 129, 713, 989, 1333, 2139, 2967, 3999, 30659
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 91968 and 91977. The biggest common factor number is the GCF number.
So the greatest common factor 91968 and 91977 is 3.
Also check out the Least Common Multiple of 91968 and 91977
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