What is the Greatest Common Factor of 93000 and 93005?
Greatest common factor (GCF) of 93000 and 93005 is 5.
GCF(93000,93005) = 5
We will now calculate the prime factors of 93000 and 93005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93000 and 93005.
How to find the GCF of 93000 and 93005?
We will first find the prime factorization of 93000 and 93005. After we will calculate the factors of 93000 and 93005 and find the biggest common factor number .
Step-1: Prime Factorization of 93000
Prime factors of 93000 are 2, 3, 5, 31. Prime factorization of 93000 in exponential form is:
93000 = 23 × 31 × 53 × 311
Step-2: Prime Factorization of 93005
Prime factors of 93005 are 5, 11, 19, 89. Prime factorization of 93005 in exponential form is:
93005 = 51 × 111 × 191 × 891
Step-3: Factors of 93000
List of positive integer factors of 93000 that divides 93000 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 31, 40, 50, 60, 62, 75, 93, 100, 120, 124, 125, 150, 155, 186, 200, 248, 250, 300, 310, 372, 375, 465, 500, 600, 620, 744, 750, 775, 930, 1000, 1240, 1500, 1550, 1860, 2325, 3000, 3100, 3720, 3875, 4650, 6200, 7750, 9300, 11625, 15500, 18600, 23250, 31000, 46500
Step-4: Factors of 93005
List of positive integer factors of 93005 that divides 93000 without a remainder.
1, 5, 11, 19, 55, 89, 95, 209, 445, 979, 1045, 1691, 4895, 8455, 18601
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 93000 and 93005. The biggest common factor number is the GCF number.
So the greatest common factor 93000 and 93005 is 5.
Also check out the Least Common Multiple of 93000 and 93005
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