What is the Greatest Common Factor of 49560 and 49571?
Greatest common factor (GCF) of 49560 and 49571 is 1.
GCF(49560,49571) = 1
We will now calculate the prime factors of 49560 and 49571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49560 and 49571.
How to find the GCF of 49560 and 49571?
We will first find the prime factorization of 49560 and 49571. After we will calculate the factors of 49560 and 49571 and find the biggest common factor number .
Step-1: Prime Factorization of 49560
Prime factors of 49560 are 2, 3, 5, 7, 59. Prime factorization of 49560 in exponential form is:
49560 = 23 × 31 × 51 × 71 × 591
Step-2: Prime Factorization of 49571
Prime factors of 49571 are 19, 2609. Prime factorization of 49571 in exponential form is:
49571 = 191 × 26091
Step-3: Factors of 49560
List of positive integer factors of 49560 that divides 49560 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 59, 60, 70, 84, 105, 118, 120, 140, 168, 177, 210, 236, 280, 295, 354, 413, 420, 472, 590, 708, 826, 840, 885, 1180, 1239, 1416, 1652, 1770, 2065, 2360, 2478, 3304, 3540, 4130, 4956, 6195, 7080, 8260, 9912, 12390, 16520, 24780
Step-4: Factors of 49571
List of positive integer factors of 49571 that divides 49560 without a remainder.
1, 19, 2609
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49560 and 49571. The biggest common factor number is the GCF number.
So the greatest common factor 49560 and 49571 is 1.
Also check out the Least Common Multiple of 49560 and 49571
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Related Greatest Common Factors of 49571
- GCF of 49571 and 49575
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- GCF of 49571 and 49582
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- GCF of 49571 and 49587
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