What is the Greatest Common Factor of 5607 and 5616?
Greatest common factor (GCF) of 5607 and 5616 is 9.
GCF(5607,5616) = 9
We will now calculate the prime factors of 5607 and 5616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5607 and 5616.
How to find the GCF of 5607 and 5616?
We will first find the prime factorization of 5607 and 5616. After we will calculate the factors of 5607 and 5616 and find the biggest common factor number .
Step-1: Prime Factorization of 5607
Prime factors of 5607 are 3, 7, 89. Prime factorization of 5607 in exponential form is:
5607 = 32 × 71 × 891
Step-2: Prime Factorization of 5616
Prime factors of 5616 are 2, 3, 13. Prime factorization of 5616 in exponential form is:
5616 = 24 × 33 × 131
Step-3: Factors of 5607
List of positive integer factors of 5607 that divides 5607 without a remainder.
1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869
Step-4: Factors of 5616
List of positive integer factors of 5616 that divides 5607 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5607 and 5616. The biggest common factor number is the GCF number.
So the greatest common factor 5607 and 5616 is 9.
Also check out the Least Common Multiple of 5607 and 5616
Related Greatest Common Factors of 5607
- GCF of 5607 and 5611
- GCF of 5607 and 5612
- GCF of 5607 and 5613
- GCF of 5607 and 5614
- GCF of 5607 and 5615
- GCF of 5607 and 5616
- GCF of 5607 and 5617
- GCF of 5607 and 5618
- GCF of 5607 and 5619
- GCF of 5607 and 5620
- GCF of 5607 and 5621
- GCF of 5607 and 5622
- GCF of 5607 and 5623
- GCF of 5607 and 5624
- GCF of 5607 and 5625
- GCF of 5607 and 5626
- GCF of 5607 and 5627
Related Greatest Common Factors of 5616
- GCF of 5616 and 5620
- GCF of 5616 and 5621
- GCF of 5616 and 5622
- GCF of 5616 and 5623
- GCF of 5616 and 5624
- GCF of 5616 and 5625
- GCF of 5616 and 5626
- GCF of 5616 and 5627
- GCF of 5616 and 5628
- GCF of 5616 and 5629
- GCF of 5616 and 5630
- GCF of 5616 and 5631
- GCF of 5616 and 5632
- GCF of 5616 and 5633
- GCF of 5616 and 5634
- GCF of 5616 and 5635
- GCF of 5616 and 5636