What is the Greatest Common Factor of 98980 and 99000?
Greatest common factor (GCF) of 98980 and 99000 is 20.
GCF(98980,99000) = 20
We will now calculate the prime factors of 98980 and 99000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98980 and 99000.
How to find the GCF of 98980 and 99000?
We will first find the prime factorization of 98980 and 99000. After we will calculate the factors of 98980 and 99000 and find the biggest common factor number .
Step-1: Prime Factorization of 98980
Prime factors of 98980 are 2, 5, 7, 101. Prime factorization of 98980 in exponential form is:
98980 = 22 × 51 × 72 × 1011
Step-2: Prime Factorization of 99000
Prime factors of 99000 are 2, 3, 5, 11. Prime factorization of 99000 in exponential form is:
99000 = 23 × 32 × 53 × 111
Step-3: Factors of 98980
List of positive integer factors of 98980 that divides 98980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 101, 140, 196, 202, 245, 404, 490, 505, 707, 980, 1010, 1414, 2020, 2828, 3535, 4949, 7070, 9898, 14140, 19796, 24745, 49490
Step-4: Factors of 99000
List of positive integer factors of 99000 that divides 98980 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 25, 30, 33, 36, 40, 44, 45, 50, 55, 60, 66, 72, 75, 88, 90, 99, 100, 110, 120, 125, 132, 150, 165, 180, 198, 200, 220, 225, 250, 264, 275, 300, 330, 360, 375, 396, 440, 450, 495, 500, 550, 600, 660, 750, 792, 825, 900, 990, 1000, 1100, 1125, 1320, 1375, 1500, 1650, 1800, 1980, 2200, 2250, 2475, 2750, 3000, 3300, 3960, 4125, 4500, 4950, 5500, 6600, 8250, 9000, 9900, 11000, 12375, 16500, 19800, 24750, 33000, 49500
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98980 and 99000. The biggest common factor number is the GCF number.
So the greatest common factor 98980 and 99000 is 20.
Also check out the Least Common Multiple of 98980 and 99000
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