What is the Greatest Common Factor of 53952 and 53969?
Greatest common factor (GCF) of 53952 and 53969 is 1.
GCF(53952,53969) = 1
We will now calculate the prime factors of 53952 and 53969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53952 and 53969.
How to find the GCF of 53952 and 53969?
We will first find the prime factorization of 53952 and 53969. After we will calculate the factors of 53952 and 53969 and find the biggest common factor number .
Step-1: Prime Factorization of 53952
Prime factors of 53952 are 2, 3, 281. Prime factorization of 53952 in exponential form is:
53952 = 26 × 31 × 2811
Step-2: Prime Factorization of 53969
Prime factors of 53969 are 29, 1861. Prime factorization of 53969 in exponential form is:
53969 = 291 × 18611
Step-3: Factors of 53952
List of positive integer factors of 53952 that divides 53952 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 281, 562, 843, 1124, 1686, 2248, 3372, 4496, 6744, 8992, 13488, 17984, 26976
Step-4: Factors of 53969
List of positive integer factors of 53969 that divides 53952 without a remainder.
1, 29, 1861
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53952 and 53969. The biggest common factor number is the GCF number.
So the greatest common factor 53952 and 53969 is 1.
Also check out the Least Common Multiple of 53952 and 53969
Related Greatest Common Factors of 53952
- GCF of 53952 and 53956
- GCF of 53952 and 53957
- GCF of 53952 and 53958
- GCF of 53952 and 53959
- GCF of 53952 and 53960
- GCF of 53952 and 53961
- GCF of 53952 and 53962
- GCF of 53952 and 53963
- GCF of 53952 and 53964
- GCF of 53952 and 53965
- GCF of 53952 and 53966
- GCF of 53952 and 53967
- GCF of 53952 and 53968
- GCF of 53952 and 53969
- GCF of 53952 and 53970
- GCF of 53952 and 53971
- GCF of 53952 and 53972
Related Greatest Common Factors of 53969
- GCF of 53969 and 53973
- GCF of 53969 and 53974
- GCF of 53969 and 53975
- GCF of 53969 and 53976
- GCF of 53969 and 53977
- GCF of 53969 and 53978
- GCF of 53969 and 53979
- GCF of 53969 and 53980
- GCF of 53969 and 53981
- GCF of 53969 and 53982
- GCF of 53969 and 53983
- GCF of 53969 and 53984
- GCF of 53969 and 53985
- GCF of 53969 and 53986
- GCF of 53969 and 53987
- GCF of 53969 and 53988
- GCF of 53969 and 53989