What is the Greatest Common Factor of 57834 and 57850?
Greatest common factor (GCF) of 57834 and 57850 is 2.
GCF(57834,57850) = 2
We will now calculate the prime factors of 57834 and 57850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57834 and 57850.
How to find the GCF of 57834 and 57850?
We will first find the prime factorization of 57834 and 57850. After we will calculate the factors of 57834 and 57850 and find the biggest common factor number .
Step-1: Prime Factorization of 57834
Prime factors of 57834 are 2, 3, 7, 17. Prime factorization of 57834 in exponential form is:
57834 = 21 × 35 × 71 × 171
Step-2: Prime Factorization of 57850
Prime factors of 57850 are 2, 5, 13, 89. Prime factorization of 57850 in exponential form is:
57850 = 21 × 52 × 131 × 891
Step-3: Factors of 57834
List of positive integer factors of 57834 that divides 57834 without a remainder.
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 81, 102, 119, 126, 153, 162, 189, 238, 243, 306, 357, 378, 459, 486, 567, 714, 918, 1071, 1134, 1377, 1701, 2142, 2754, 3213, 3402, 4131, 6426, 8262, 9639, 19278, 28917
Step-4: Factors of 57850
List of positive integer factors of 57850 that divides 57834 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 89, 130, 178, 325, 445, 650, 890, 1157, 2225, 2314, 4450, 5785, 11570, 28925
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57834 and 57850. The biggest common factor number is the GCF number.
So the greatest common factor 57834 and 57850 is 2.
Also check out the Least Common Multiple of 57834 and 57850
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