What is the Greatest Common Factor of 47064 and 47082?
Greatest common factor (GCF) of 47064 and 47082 is 6.
GCF(47064,47082) = 6
We will now calculate the prime factors of 47064 and 47082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47064 and 47082.
How to find the GCF of 47064 and 47082?
We will first find the prime factorization of 47064 and 47082. After we will calculate the factors of 47064 and 47082 and find the biggest common factor number .
Step-1: Prime Factorization of 47064
Prime factors of 47064 are 2, 3, 37, 53. Prime factorization of 47064 in exponential form is:
47064 = 23 × 31 × 371 × 531
Step-2: Prime Factorization of 47082
Prime factors of 47082 are 2, 3, 7, 19, 59. Prime factorization of 47082 in exponential form is:
47082 = 21 × 31 × 71 × 191 × 591
Step-3: Factors of 47064
List of positive integer factors of 47064 that divides 47064 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 53, 74, 106, 111, 148, 159, 212, 222, 296, 318, 424, 444, 636, 888, 1272, 1961, 3922, 5883, 7844, 11766, 15688, 23532
Step-4: Factors of 47082
List of positive integer factors of 47082 that divides 47064 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 59, 114, 118, 133, 177, 266, 354, 399, 413, 798, 826, 1121, 1239, 2242, 2478, 3363, 6726, 7847, 15694, 23541
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47064 and 47082. The biggest common factor number is the GCF number.
So the greatest common factor 47064 and 47082 is 6.
Also check out the Least Common Multiple of 47064 and 47082
Related Greatest Common Factors of 47064
- GCF of 47064 and 47068
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- GCF of 47064 and 47071
- GCF of 47064 and 47072
- GCF of 47064 and 47073
- GCF of 47064 and 47074
- GCF of 47064 and 47075
- GCF of 47064 and 47076
- GCF of 47064 and 47077
- GCF of 47064 and 47078
- GCF of 47064 and 47079
- GCF of 47064 and 47080
- GCF of 47064 and 47081
- GCF of 47064 and 47082
- GCF of 47064 and 47083
- GCF of 47064 and 47084
Related Greatest Common Factors of 47082
- GCF of 47082 and 47086
- GCF of 47082 and 47087
- GCF of 47082 and 47088
- GCF of 47082 and 47089
- GCF of 47082 and 47090
- GCF of 47082 and 47091
- GCF of 47082 and 47092
- GCF of 47082 and 47093
- GCF of 47082 and 47094
- GCF of 47082 and 47095
- GCF of 47082 and 47096
- GCF of 47082 and 47097
- GCF of 47082 and 47098
- GCF of 47082 and 47099
- GCF of 47082 and 47100
- GCF of 47082 and 47101
- GCF of 47082 and 47102