What is the Greatest Common Factor of 13664 and 13677?
Greatest common factor (GCF) of 13664 and 13677 is 1.
GCF(13664,13677) = 1
We will now calculate the prime factors of 13664 and 13677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13664 and 13677.
How to find the GCF of 13664 and 13677?
We will first find the prime factorization of 13664 and 13677. After we will calculate the factors of 13664 and 13677 and find the biggest common factor number .
Step-1: Prime Factorization of 13664
Prime factors of 13664 are 2, 7, 61. Prime factorization of 13664 in exponential form is:
13664 = 25 × 71 × 611
Step-2: Prime Factorization of 13677
Prime factors of 13677 are 3, 47, 97. Prime factorization of 13677 in exponential form is:
13677 = 31 × 471 × 971
Step-3: Factors of 13664
List of positive integer factors of 13664 that divides 13664 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 61, 112, 122, 224, 244, 427, 488, 854, 976, 1708, 1952, 3416, 6832
Step-4: Factors of 13677
List of positive integer factors of 13677 that divides 13664 without a remainder.
1, 3, 47, 97, 141, 291, 4559
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13664 and 13677. The biggest common factor number is the GCF number.
So the greatest common factor 13664 and 13677 is 1.
Also check out the Least Common Multiple of 13664 and 13677
Related Greatest Common Factors of 13664
- GCF of 13664 and 13668
- GCF of 13664 and 13669
- GCF of 13664 and 13670
- GCF of 13664 and 13671
- GCF of 13664 and 13672
- GCF of 13664 and 13673
- GCF of 13664 and 13674
- GCF of 13664 and 13675
- GCF of 13664 and 13676
- GCF of 13664 and 13677
- GCF of 13664 and 13678
- GCF of 13664 and 13679
- GCF of 13664 and 13680
- GCF of 13664 and 13681
- GCF of 13664 and 13682
- GCF of 13664 and 13683
- GCF of 13664 and 13684
Related Greatest Common Factors of 13677
- GCF of 13677 and 13681
- GCF of 13677 and 13682
- GCF of 13677 and 13683
- GCF of 13677 and 13684
- GCF of 13677 and 13685
- GCF of 13677 and 13686
- GCF of 13677 and 13687
- GCF of 13677 and 13688
- GCF of 13677 and 13689
- GCF of 13677 and 13690
- GCF of 13677 and 13691
- GCF of 13677 and 13692
- GCF of 13677 and 13693
- GCF of 13677 and 13694
- GCF of 13677 and 13695
- GCF of 13677 and 13696
- GCF of 13677 and 13697