What is the Greatest Common Factor of 8510 and 8515?
Greatest common factor (GCF) of 8510 and 8515 is 5.
GCF(8510,8515) = 5
We will now calculate the prime factors of 8510 and 8515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8510 and 8515.
How to find the GCF of 8510 and 8515?
We will first find the prime factorization of 8510 and 8515. After we will calculate the factors of 8510 and 8515 and find the biggest common factor number .
Step-1: Prime Factorization of 8510
Prime factors of 8510 are 2, 5, 23, 37. Prime factorization of 8510 in exponential form is:
8510 = 21 × 51 × 231 × 371
Step-2: Prime Factorization of 8515
Prime factors of 8515 are 5, 13, 131. Prime factorization of 8515 in exponential form is:
8515 = 51 × 131 × 1311
Step-3: Factors of 8510
List of positive integer factors of 8510 that divides 8510 without a remainder.
1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255
Step-4: Factors of 8515
List of positive integer factors of 8515 that divides 8510 without a remainder.
1, 5, 13, 65, 131, 655, 1703
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8510 and 8515. The biggest common factor number is the GCF number.
So the greatest common factor 8510 and 8515 is 5.
Also check out the Least Common Multiple of 8510 and 8515
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