What is the Greatest Common Factor of 55645 and 55650?
Greatest common factor (GCF) of 55645 and 55650 is 5.
GCF(55645,55650) = 5
We will now calculate the prime factors of 55645 and 55650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55645 and 55650.
How to find the GCF of 55645 and 55650?
We will first find the prime factorization of 55645 and 55650. After we will calculate the factors of 55645 and 55650 and find the biggest common factor number .
Step-1: Prime Factorization of 55645
Prime factors of 55645 are 5, 31, 359. Prime factorization of 55645 in exponential form is:
55645 = 51 × 311 × 3591
Step-2: Prime Factorization of 55650
Prime factors of 55650 are 2, 3, 5, 7, 53. Prime factorization of 55650 in exponential form is:
55650 = 21 × 31 × 52 × 71 × 531
Step-3: Factors of 55645
List of positive integer factors of 55645 that divides 55645 without a remainder.
1, 5, 31, 155, 359, 1795, 11129
Step-4: Factors of 55650
List of positive integer factors of 55650 that divides 55645 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 53, 70, 75, 105, 106, 150, 159, 175, 210, 265, 318, 350, 371, 525, 530, 742, 795, 1050, 1113, 1325, 1590, 1855, 2226, 2650, 3710, 3975, 5565, 7950, 9275, 11130, 18550, 27825
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55645 and 55650. The biggest common factor number is the GCF number.
So the greatest common factor 55645 and 55650 is 5.
Also check out the Least Common Multiple of 55645 and 55650
Related Greatest Common Factors of 55645
- GCF of 55645 and 55649
- GCF of 55645 and 55650
- GCF of 55645 and 55651
- GCF of 55645 and 55652
- GCF of 55645 and 55653
- GCF of 55645 and 55654
- GCF of 55645 and 55655
- GCF of 55645 and 55656
- GCF of 55645 and 55657
- GCF of 55645 and 55658
- GCF of 55645 and 55659
- GCF of 55645 and 55660
- GCF of 55645 and 55661
- GCF of 55645 and 55662
- GCF of 55645 and 55663
- GCF of 55645 and 55664
- GCF of 55645 and 55665
Related Greatest Common Factors of 55650
- GCF of 55650 and 55654
- GCF of 55650 and 55655
- GCF of 55650 and 55656
- GCF of 55650 and 55657
- GCF of 55650 and 55658
- GCF of 55650 and 55659
- GCF of 55650 and 55660
- GCF of 55650 and 55661
- GCF of 55650 and 55662
- GCF of 55650 and 55663
- GCF of 55650 and 55664
- GCF of 55650 and 55665
- GCF of 55650 and 55666
- GCF of 55650 and 55667
- GCF of 55650 and 55668
- GCF of 55650 and 55669
- GCF of 55650 and 55670