What is the Greatest Common Factor of 46270 and 46284?
Greatest common factor (GCF) of 46270 and 46284 is 14.
GCF(46270,46284) = 14
We will now calculate the prime factors of 46270 and 46284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46270 and 46284.
How to find the GCF of 46270 and 46284?
We will first find the prime factorization of 46270 and 46284. After we will calculate the factors of 46270 and 46284 and find the biggest common factor number .
Step-1: Prime Factorization of 46270
Prime factors of 46270 are 2, 5, 7, 661. Prime factorization of 46270 in exponential form is:
46270 = 21 × 51 × 71 × 6611
Step-2: Prime Factorization of 46284
Prime factors of 46284 are 2, 3, 7, 19, 29. Prime factorization of 46284 in exponential form is:
46284 = 22 × 31 × 71 × 191 × 291
Step-3: Factors of 46270
List of positive integer factors of 46270 that divides 46270 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 661, 1322, 3305, 4627, 6610, 9254, 23135
Step-4: Factors of 46284
List of positive integer factors of 46284 that divides 46270 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 29, 38, 42, 57, 58, 76, 84, 87, 114, 116, 133, 174, 203, 228, 266, 348, 399, 406, 532, 551, 609, 798, 812, 1102, 1218, 1596, 1653, 2204, 2436, 3306, 3857, 6612, 7714, 11571, 15428, 23142
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 46270 and 46284. The biggest common factor number is the GCF number.
So the greatest common factor 46270 and 46284 is 14.
Also check out the Least Common Multiple of 46270 and 46284
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Related Greatest Common Factors of 46284
- GCF of 46284 and 46288
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