What is the Greatest Common Factor of 3080 and 3092?
Greatest common factor (GCF) of 3080 and 3092 is 4.
GCF(3080,3092) = 4
We will now calculate the prime factors of 3080 and 3092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3080 and 3092.
How to find the GCF of 3080 and 3092?
We will first find the prime factorization of 3080 and 3092. After we will calculate the factors of 3080 and 3092 and find the biggest common factor number .
Step-1: Prime Factorization of 3080
Prime factors of 3080 are 2, 5, 7, 11. Prime factorization of 3080 in exponential form is:
3080 = 23 × 51 × 71 × 111
Step-2: Prime Factorization of 3092
Prime factors of 3092 are 2, 773. Prime factorization of 3092 in exponential form is:
3092 = 22 × 7731
Step-3: Factors of 3080
List of positive integer factors of 3080 that divides 3080 without a remainder.
1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540
Step-4: Factors of 3092
List of positive integer factors of 3092 that divides 3080 without a remainder.
1, 2, 4, 773, 1546
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3080 and 3092. The biggest common factor number is the GCF number.
So the greatest common factor 3080 and 3092 is 4.
Also check out the Least Common Multiple of 3080 and 3092
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