What is the Greatest Common Factor of 59094 and 59112?
Greatest common factor (GCF) of 59094 and 59112 is 18.
GCF(59094,59112) = 18
We will now calculate the prime factors of 59094 and 59112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59094 and 59112.
How to find the GCF of 59094 and 59112?
We will first find the prime factorization of 59094 and 59112. After we will calculate the factors of 59094 and 59112 and find the biggest common factor number .
Step-1: Prime Factorization of 59094
Prime factors of 59094 are 2, 3, 7, 67. Prime factorization of 59094 in exponential form is:
59094 = 21 × 32 × 72 × 671
Step-2: Prime Factorization of 59112
Prime factors of 59112 are 2, 3, 821. Prime factorization of 59112 in exponential form is:
59112 = 23 × 32 × 8211
Step-3: Factors of 59094
List of positive integer factors of 59094 that divides 59094 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 67, 98, 126, 134, 147, 201, 294, 402, 441, 469, 603, 882, 938, 1206, 1407, 2814, 3283, 4221, 6566, 8442, 9849, 19698, 29547
Step-4: Factors of 59112
List of positive integer factors of 59112 that divides 59094 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 821, 1642, 2463, 3284, 4926, 6568, 7389, 9852, 14778, 19704, 29556
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59094 and 59112. The biggest common factor number is the GCF number.
So the greatest common factor 59094 and 59112 is 18.
Also check out the Least Common Multiple of 59094 and 59112
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Related Greatest Common Factors of 59112
- GCF of 59112 and 59116
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- GCF of 59112 and 59122
- GCF of 59112 and 59123
- GCF of 59112 and 59124
- GCF of 59112 and 59125
- GCF of 59112 and 59126
- GCF of 59112 and 59127
- GCF of 59112 and 59128
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