What is the Greatest Common Factor of 27500 and 27504?
Greatest common factor (GCF) of 27500 and 27504 is 4.
GCF(27500,27504) = 4
We will now calculate the prime factors of 27500 and 27504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27500 and 27504.
How to find the GCF of 27500 and 27504?
We will first find the prime factorization of 27500 and 27504. After we will calculate the factors of 27500 and 27504 and find the biggest common factor number .
Step-1: Prime Factorization of 27500
Prime factors of 27500 are 2, 5, 11. Prime factorization of 27500 in exponential form is:
27500 = 22 × 54 × 111
Step-2: Prime Factorization of 27504
Prime factors of 27504 are 2, 3, 191. Prime factorization of 27504 in exponential form is:
27504 = 24 × 32 × 1911
Step-3: Factors of 27500
List of positive integer factors of 27500 that divides 27500 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 625, 1100, 1250, 1375, 2500, 2750, 5500, 6875, 13750
Step-4: Factors of 27504
List of positive integer factors of 27504 that divides 27500 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 191, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6876, 9168, 13752
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27500 and 27504. The biggest common factor number is the GCF number.
So the greatest common factor 27500 and 27504 is 4.
Also check out the Least Common Multiple of 27500 and 27504
Related Greatest Common Factors of 27500
- GCF of 27500 and 27504
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- GCF of 27500 and 27508
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- GCF of 27500 and 27512
- GCF of 27500 and 27513
- GCF of 27500 and 27514
- GCF of 27500 and 27515
- GCF of 27500 and 27516
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Related Greatest Common Factors of 27504
- GCF of 27504 and 27508
- GCF of 27504 and 27509
- GCF of 27504 and 27510
- GCF of 27504 and 27511
- GCF of 27504 and 27512
- GCF of 27504 and 27513
- GCF of 27504 and 27514
- GCF of 27504 and 27515
- GCF of 27504 and 27516
- GCF of 27504 and 27517
- GCF of 27504 and 27518
- GCF of 27504 and 27519
- GCF of 27504 and 27520
- GCF of 27504 and 27521
- GCF of 27504 and 27522
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