What is the Greatest Common Factor of 13632 and 13652?
Greatest common factor (GCF) of 13632 and 13652 is 4.
GCF(13632,13652) = 4
We will now calculate the prime factors of 13632 and 13652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13632 and 13652.
How to find the GCF of 13632 and 13652?
We will first find the prime factorization of 13632 and 13652. After we will calculate the factors of 13632 and 13652 and find the biggest common factor number .
Step-1: Prime Factorization of 13632
Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:
13632 = 26 × 31 × 711
Step-2: Prime Factorization of 13652
Prime factors of 13652 are 2, 3413. Prime factorization of 13652 in exponential form is:
13652 = 22 × 34131
Step-3: Factors of 13632
List of positive integer factors of 13632 that divides 13632 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 142, 192, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 4544, 6816
Step-4: Factors of 13652
List of positive integer factors of 13652 that divides 13632 without a remainder.
1, 2, 4, 3413, 6826
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13632 and 13652. The biggest common factor number is the GCF number.
So the greatest common factor 13632 and 13652 is 4.
Also check out the Least Common Multiple of 13632 and 13652
Related Greatest Common Factors of 13632
- GCF of 13632 and 13636
- GCF of 13632 and 13637
- GCF of 13632 and 13638
- GCF of 13632 and 13639
- GCF of 13632 and 13640
- GCF of 13632 and 13641
- GCF of 13632 and 13642
- GCF of 13632 and 13643
- GCF of 13632 and 13644
- GCF of 13632 and 13645
- GCF of 13632 and 13646
- GCF of 13632 and 13647
- GCF of 13632 and 13648
- GCF of 13632 and 13649
- GCF of 13632 and 13650
- GCF of 13632 and 13651
- GCF of 13632 and 13652
Related Greatest Common Factors of 13652
- GCF of 13652 and 13656
- GCF of 13652 and 13657
- GCF of 13652 and 13658
- GCF of 13652 and 13659
- GCF of 13652 and 13660
- GCF of 13652 and 13661
- GCF of 13652 and 13662
- GCF of 13652 and 13663
- GCF of 13652 and 13664
- GCF of 13652 and 13665
- GCF of 13652 and 13666
- GCF of 13652 and 13667
- GCF of 13652 and 13668
- GCF of 13652 and 13669
- GCF of 13652 and 13670
- GCF of 13652 and 13671
- GCF of 13652 and 13672