What is the Greatest Common Factor of 47250 and 47265?
Greatest common factor (GCF) of 47250 and 47265 is 15.
GCF(47250,47265) = 15
We will now calculate the prime factors of 47250 and 47265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47250 and 47265.
How to find the GCF of 47250 and 47265?
We will first find the prime factorization of 47250 and 47265. After we will calculate the factors of 47250 and 47265 and find the biggest common factor number .
Step-1: Prime Factorization of 47250
Prime factors of 47250 are 2, 3, 5, 7. Prime factorization of 47250 in exponential form is:
47250 = 21 × 33 × 53 × 71
Step-2: Prime Factorization of 47265
Prime factors of 47265 are 3, 5, 23, 137. Prime factorization of 47265 in exponential form is:
47265 = 31 × 51 × 231 × 1371
Step-3: Factors of 47250
List of positive integer factors of 47250 that divides 47250 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 125, 126, 135, 150, 175, 189, 210, 225, 250, 270, 315, 350, 375, 378, 450, 525, 630, 675, 750, 875, 945, 1050, 1125, 1350, 1575, 1750, 1890, 2250, 2625, 3150, 3375, 4725, 5250, 6750, 7875, 9450, 15750, 23625
Step-4: Factors of 47265
List of positive integer factors of 47265 that divides 47250 without a remainder.
1, 3, 5, 15, 23, 69, 115, 137, 345, 411, 685, 2055, 3151, 9453, 15755
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47250 and 47265. The biggest common factor number is the GCF number.
So the greatest common factor 47250 and 47265 is 15.
Also check out the Least Common Multiple of 47250 and 47265
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