What is the Greatest Common Factor of 13948 and 13952?
Greatest common factor (GCF) of 13948 and 13952 is 4.
GCF(13948,13952) = 4
We will now calculate the prime factors of 13948 and 13952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13948 and 13952.
How to find the GCF of 13948 and 13952?
We will first find the prime factorization of 13948 and 13952. After we will calculate the factors of 13948 and 13952 and find the biggest common factor number .
Step-1: Prime Factorization of 13948
Prime factors of 13948 are 2, 11, 317. Prime factorization of 13948 in exponential form is:
13948 = 22 × 111 × 3171
Step-2: Prime Factorization of 13952
Prime factors of 13952 are 2, 109. Prime factorization of 13952 in exponential form is:
13952 = 27 × 1091
Step-3: Factors of 13948
List of positive integer factors of 13948 that divides 13948 without a remainder.
1, 2, 4, 11, 22, 44, 317, 634, 1268, 3487, 6974
Step-4: Factors of 13952
List of positive integer factors of 13952 that divides 13948 without a remainder.
1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 436, 872, 1744, 3488, 6976
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13948 and 13952. The biggest common factor number is the GCF number.
So the greatest common factor 13948 and 13952 is 4.
Also check out the Least Common Multiple of 13948 and 13952
Related Greatest Common Factors of 13948
- GCF of 13948 and 13952
- GCF of 13948 and 13953
- GCF of 13948 and 13954
- GCF of 13948 and 13955
- GCF of 13948 and 13956
- GCF of 13948 and 13957
- GCF of 13948 and 13958
- GCF of 13948 and 13959
- GCF of 13948 and 13960
- GCF of 13948 and 13961
- GCF of 13948 and 13962
- GCF of 13948 and 13963
- GCF of 13948 and 13964
- GCF of 13948 and 13965
- GCF of 13948 and 13966
- GCF of 13948 and 13967
- GCF of 13948 and 13968
Related Greatest Common Factors of 13952
- GCF of 13952 and 13956
- GCF of 13952 and 13957
- GCF of 13952 and 13958
- GCF of 13952 and 13959
- GCF of 13952 and 13960
- GCF of 13952 and 13961
- GCF of 13952 and 13962
- GCF of 13952 and 13963
- GCF of 13952 and 13964
- GCF of 13952 and 13965
- GCF of 13952 and 13966
- GCF of 13952 and 13967
- GCF of 13952 and 13968
- GCF of 13952 and 13969
- GCF of 13952 and 13970
- GCF of 13952 and 13971
- GCF of 13952 and 13972