What is the Greatest Common Factor of 49260 and 49266?
Greatest common factor (GCF) of 49260 and 49266 is 6.
GCF(49260,49266) = 6
We will now calculate the prime factors of 49260 and 49266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49260 and 49266.
How to find the GCF of 49260 and 49266?
We will first find the prime factorization of 49260 and 49266. After we will calculate the factors of 49260 and 49266 and find the biggest common factor number .
Step-1: Prime Factorization of 49260
Prime factors of 49260 are 2, 3, 5, 821. Prime factorization of 49260 in exponential form is:
49260 = 22 × 31 × 51 × 8211
Step-2: Prime Factorization of 49266
Prime factors of 49266 are 2, 3, 7, 17, 23. Prime factorization of 49266 in exponential form is:
49266 = 21 × 32 × 71 × 171 × 231
Step-3: Factors of 49260
List of positive integer factors of 49260 that divides 49260 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 821, 1642, 2463, 3284, 4105, 4926, 8210, 9852, 12315, 16420, 24630
Step-4: Factors of 49266
List of positive integer factors of 49266 that divides 49260 without a remainder.
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 23, 34, 42, 46, 51, 63, 69, 102, 119, 126, 138, 153, 161, 207, 238, 306, 322, 357, 391, 414, 483, 714, 782, 966, 1071, 1173, 1449, 2142, 2346, 2737, 2898, 3519, 5474, 7038, 8211, 16422, 24633
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49260 and 49266. The biggest common factor number is the GCF number.
So the greatest common factor 49260 and 49266 is 6.
Also check out the Least Common Multiple of 49260 and 49266
Related Greatest Common Factors of 49260
- GCF of 49260 and 49264
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- GCF of 49260 and 49271
- GCF of 49260 and 49272
- GCF of 49260 and 49273
- GCF of 49260 and 49274
- GCF of 49260 and 49275
- GCF of 49260 and 49276
- GCF of 49260 and 49277
- GCF of 49260 and 49278
- GCF of 49260 and 49279
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Related Greatest Common Factors of 49266
- GCF of 49266 and 49270
- GCF of 49266 and 49271
- GCF of 49266 and 49272
- GCF of 49266 and 49273
- GCF of 49266 and 49274
- GCF of 49266 and 49275
- GCF of 49266 and 49276
- GCF of 49266 and 49277
- GCF of 49266 and 49278
- GCF of 49266 and 49279
- GCF of 49266 and 49280
- GCF of 49266 and 49281
- GCF of 49266 and 49282
- GCF of 49266 and 49283
- GCF of 49266 and 49284
- GCF of 49266 and 49285
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