What is the Greatest Common Factor of 53964 and 53969?
Greatest common factor (GCF) of 53964 and 53969 is 1.
GCF(53964,53969) = 1
We will now calculate the prime factors of 53964 and 53969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53964 and 53969.
How to find the GCF of 53964 and 53969?
We will first find the prime factorization of 53964 and 53969. After we will calculate the factors of 53964 and 53969 and find the biggest common factor number .
Step-1: Prime Factorization of 53964
Prime factors of 53964 are 2, 3, 1499. Prime factorization of 53964 in exponential form is:
53964 = 22 × 32 × 14991
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 53964
List of positive integer factors of 53964 that divides 53964 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 1499, 2998, 4497, 5996, 8994, 13491, 17988, 26982
Step-4: Factors of 53969
List of positive integer factors of 53969 that divides 53964 without a remainder.
1, 29, 1861
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53964 and 53969. The biggest common factor number is the GCF number.
So the greatest common factor 53964 and 53969 is 1.
Also check out the Least Common Multiple of 53964 and 53969
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