What is the Greatest Common Factor of 8515 and 8525?
Greatest common factor (GCF) of 8515 and 8525 is 5.
GCF(8515,8525) = 5
We will now calculate the prime factors of 8515 and 8525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8515 and 8525.
How to find the GCF of 8515 and 8525?
We will first find the prime factorization of 8515 and 8525. After we will calculate the factors of 8515 and 8525 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 8525
Prime factors of 8525 are 5, 11, 31. Prime factorization of 8525 in exponential form is:
8525 = 52 × 111 × 311
Step-3: Factors of 8515
List of positive integer factors of 8515 that divides 8515 without a remainder.
1, 5, 13, 65, 131, 655, 1703
Step-4: Factors of 8525
List of positive integer factors of 8525 that divides 8515 without a remainder.
1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8515 and 8525. The biggest common factor number is the GCF number.
So the greatest common factor 8515 and 8525 is 5.
Also check out the Least Common Multiple of 8515 and 8525
Related Greatest Common Factors of 8515
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Related Greatest Common Factors of 8525
- GCF of 8525 and 8529
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- GCF of 8525 and 8540
- GCF of 8525 and 8541
- GCF of 8525 and 8542
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