What is the Greatest Common Factor of 3055 and 3068?
Greatest common factor (GCF) of 3055 and 3068 is 13.
GCF(3055,3068) = 13
We will now calculate the prime factors of 3055 and 3068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3055 and 3068.
How to find the GCF of 3055 and 3068?
We will first find the prime factorization of 3055 and 3068. After we will calculate the factors of 3055 and 3068 and find the biggest common factor number .
Step-1: Prime Factorization of 3055
Prime factors of 3055 are 5, 13, 47. Prime factorization of 3055 in exponential form is:
3055 = 51 × 131 × 471
Step-2: Prime Factorization of 3068
Prime factors of 3068 are 2, 13, 59. Prime factorization of 3068 in exponential form is:
3068 = 22 × 131 × 591
Step-3: Factors of 3055
List of positive integer factors of 3055 that divides 3055 without a remainder.
1, 5, 13, 47, 65, 235, 611
Step-4: Factors of 3068
List of positive integer factors of 3068 that divides 3055 without a remainder.
1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3055 and 3068. The biggest common factor number is the GCF number.
So the greatest common factor 3055 and 3068 is 13.
Also check out the Least Common Multiple of 3055 and 3068
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