What is the Greatest Common Factor of 93768 and 93772?
Greatest common factor (GCF) of 93768 and 93772 is 4.
GCF(93768,93772) = 4
We will now calculate the prime factors of 93768 and 93772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93768 and 93772.
How to find the GCF of 93768 and 93772?
We will first find the prime factorization of 93768 and 93772. After we will calculate the factors of 93768 and 93772 and find the biggest common factor number .
Step-1: Prime Factorization of 93768
Prime factors of 93768 are 2, 3, 3907. Prime factorization of 93768 in exponential form is:
93768 = 23 × 31 × 39071
Step-2: Prime Factorization of 93772
Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:
93772 = 22 × 71 × 171 × 1971
Step-3: Factors of 93768
List of positive integer factors of 93768 that divides 93768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 3907, 7814, 11721, 15628, 23442, 31256, 46884
Step-4: Factors of 93772
List of positive integer factors of 93772 that divides 93768 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 197, 238, 394, 476, 788, 1379, 2758, 3349, 5516, 6698, 13396, 23443, 46886
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 93768 and 93772. The biggest common factor number is the GCF number.
So the greatest common factor 93768 and 93772 is 4.
Also check out the Least Common Multiple of 93768 and 93772
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