What is the Greatest Common Factor of 8610 and 8625?
Greatest common factor (GCF) of 8610 and 8625 is 15.
GCF(8610,8625) = 15
We will now calculate the prime factors of 8610 and 8625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8610 and 8625.
How to find the GCF of 8610 and 8625?
We will first find the prime factorization of 8610 and 8625. After we will calculate the factors of 8610 and 8625 and find the biggest common factor number .
Step-1: Prime Factorization of 8610
Prime factors of 8610 are 2, 3, 5, 7, 41. Prime factorization of 8610 in exponential form is:
8610 = 21 × 31 × 51 × 71 × 411
Step-2: Prime Factorization of 8625
Prime factors of 8625 are 3, 5, 23. Prime factorization of 8625 in exponential form is:
8625 = 31 × 53 × 231
Step-3: Factors of 8610
List of positive integer factors of 8610 that divides 8610 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305
Step-4: Factors of 8625
List of positive integer factors of 8625 that divides 8610 without a remainder.
1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8610 and 8625. The biggest common factor number is the GCF number.
So the greatest common factor 8610 and 8625 is 15.
Also check out the Least Common Multiple of 8610 and 8625
Related Greatest Common Factors of 8610
- GCF of 8610 and 8614
- GCF of 8610 and 8615
- GCF of 8610 and 8616
- GCF of 8610 and 8617
- GCF of 8610 and 8618
- GCF of 8610 and 8619
- GCF of 8610 and 8620
- GCF of 8610 and 8621
- GCF of 8610 and 8622
- GCF of 8610 and 8623
- GCF of 8610 and 8624
- GCF of 8610 and 8625
- GCF of 8610 and 8626
- GCF of 8610 and 8627
- GCF of 8610 and 8628
- GCF of 8610 and 8629
- GCF of 8610 and 8630
Related Greatest Common Factors of 8625
- GCF of 8625 and 8629
- GCF of 8625 and 8630
- GCF of 8625 and 8631
- GCF of 8625 and 8632
- GCF of 8625 and 8633
- GCF of 8625 and 8634
- GCF of 8625 and 8635
- GCF of 8625 and 8636
- GCF of 8625 and 8637
- GCF of 8625 and 8638
- GCF of 8625 and 8639
- GCF of 8625 and 8640
- GCF of 8625 and 8641
- GCF of 8625 and 8642
- GCF of 8625 and 8643
- GCF of 8625 and 8644
- GCF of 8625 and 8645