What is the Greatest Common Factor of 59094 and 59110?
Greatest common factor (GCF) of 59094 and 59110 is 2.
GCF(59094,59110) = 2
We will now calculate the prime factors of 59094 and 59110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59094 and 59110.
How to find the GCF of 59094 and 59110?
We will first find the prime factorization of 59094 and 59110. After we will calculate the factors of 59094 and 59110 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 59110
Prime factors of 59110 are 2, 5, 23, 257. Prime factorization of 59110 in exponential form is:
59110 = 21 × 51 × 231 × 2571
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 59110
List of positive integer factors of 59110 that divides 59094 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230, 257, 514, 1285, 2570, 5911, 11822, 29555
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59094 and 59110. The biggest common factor number is the GCF number.
So the greatest common factor 59094 and 59110 is 2.
Also check out the Least Common Multiple of 59094 and 59110
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