What is the Greatest Common Factor of 53948 and 53963?
Greatest common factor (GCF) of 53948 and 53963 is 1.
GCF(53948,53963) = 1
We will now calculate the prime factors of 53948 and 53963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53948 and 53963.
How to find the GCF of 53948 and 53963?
We will first find the prime factorization of 53948 and 53963. After we will calculate the factors of 53948 and 53963 and find the biggest common factor number .
Step-1: Prime Factorization of 53948
Prime factors of 53948 are 2, 13487. Prime factorization of 53948 in exponential form is:
53948 = 22 × 134871
Step-2: Prime Factorization of 53963
Prime factors of 53963 are 7, 13, 593. Prime factorization of 53963 in exponential form is:
53963 = 71 × 131 × 5931
Step-3: Factors of 53948
List of positive integer factors of 53948 that divides 53948 without a remainder.
1, 2, 4, 13487, 26974
Step-4: Factors of 53963
List of positive integer factors of 53963 that divides 53948 without a remainder.
1, 7, 13, 91, 593, 4151, 7709
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53948 and 53963. The biggest common factor number is the GCF number.
So the greatest common factor 53948 and 53963 is 1.
Also check out the Least Common Multiple of 53948 and 53963
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Related Greatest Common Factors of 53963
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