What is the Greatest Common Factor of 89996 and 90000?
Greatest common factor (GCF) of 89996 and 90000 is 4.
GCF(89996,90000) = 4
We will now calculate the prime factors of 89996 and 90000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89996 and 90000.
How to find the GCF of 89996 and 90000?
We will first find the prime factorization of 89996 and 90000. After we will calculate the factors of 89996 and 90000 and find the biggest common factor number .
Step-1: Prime Factorization of 89996
Prime factors of 89996 are 2, 149, 151. Prime factorization of 89996 in exponential form is:
89996 = 22 × 1491 × 1511
Step-2: Prime Factorization of 90000
Prime factors of 90000 are 2, 3, 5. Prime factorization of 90000 in exponential form is:
90000 = 24 × 32 × 54
Step-3: Factors of 89996
List of positive integer factors of 89996 that divides 89996 without a remainder.
1, 2, 4, 149, 151, 298, 302, 596, 604, 22499, 44998
Step-4: Factors of 90000
List of positive integer factors of 90000 that divides 89996 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 625, 720, 750, 900, 1000, 1125, 1200, 1250, 1500, 1800, 1875, 2000, 2250, 2500, 3000, 3600, 3750, 4500, 5000, 5625, 6000, 7500, 9000, 10000, 11250, 15000, 18000, 22500, 30000, 45000
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 89996 and 90000. The biggest common factor number is the GCF number.
So the greatest common factor 89996 and 90000 is 4.
Also check out the Least Common Multiple of 89996 and 90000
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