What is the Greatest Common Factor of 580 and 586?
Greatest common factor (GCF) of 580 and 586 is 2.
GCF(580,586) = 2
We will now calculate the prime factors of 580 and 586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 580 and 586.
How to find the GCF of 580 and 586?
We will first find the prime factorization of 580 and 586. After we will calculate the factors of 580 and 586 and find the biggest common factor number .
Step-1: Prime Factorization of 580
Prime factors of 580 are 2, 5, 29. Prime factorization of 580 in exponential form is:
580 = 22 × 51 × 291
Step-2: Prime Factorization of 586
Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:
586 = 21 × 2931
Step-3: Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290
Step-4: Factors of 586
List of positive integer factors of 586 that divides 580 without a remainder.
1, 2, 293
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 580 and 586. The biggest common factor number is the GCF number.
So the greatest common factor 580 and 586 is 2.
Also check out the Least Common Multiple of 580 and 586
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