What is the Greatest Common Factor of 6110 and 6120?
Greatest common factor (GCF) of 6110 and 6120 is 10.
GCF(6110,6120) = 10
We will now calculate the prime factors of 6110 and 6120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6110 and 6120.
How to find the GCF of 6110 and 6120?
We will first find the prime factorization of 6110 and 6120. After we will calculate the factors of 6110 and 6120 and find the biggest common factor number .
Step-1: Prime Factorization of 6110
Prime factors of 6110 are 2, 5, 13, 47. Prime factorization of 6110 in exponential form is:
6110 = 21 × 51 × 131 × 471
Step-2: Prime Factorization of 6120
Prime factors of 6120 are 2, 3, 5, 17. Prime factorization of 6120 in exponential form is:
6120 = 23 × 32 × 51 × 171
Step-3: Factors of 6110
List of positive integer factors of 6110 that divides 6110 without a remainder.
1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055
Step-4: Factors of 6120
List of positive integer factors of 6120 that divides 6110 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6110 and 6120. The biggest common factor number is the GCF number.
So the greatest common factor 6110 and 6120 is 10.
Also check out the Least Common Multiple of 6110 and 6120
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