What is the Greatest Common Factor of 5953 and 5970?
Greatest common factor (GCF) of 5953 and 5970 is 1.
GCF(5953,5970) = 1
We will now calculate the prime factors of 5953 and 5970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5953 and 5970.
How to find the GCF of 5953 and 5970?
We will first find the prime factorization of 5953 and 5970. After we will calculate the factors of 5953 and 5970 and find the biggest common factor number .
Step-1: Prime Factorization of 5953
Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:
5953 = 59531
Step-2: Prime Factorization of 5970
Prime factors of 5970 are 2, 3, 5, 199. Prime factorization of 5970 in exponential form is:
5970 = 21 × 31 × 51 × 1991
Step-3: Factors of 5953
List of positive integer factors of 5953 that divides 5953 without a remainder.
1
Step-4: Factors of 5970
List of positive integer factors of 5970 that divides 5953 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5953 and 5970. The biggest common factor number is the GCF number.
So the greatest common factor 5953 and 5970 is 1.
Also check out the Least Common Multiple of 5953 and 5970
Related Greatest Common Factors of 5953
- GCF of 5953 and 5957
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Related Greatest Common Factors of 5970
- GCF of 5970 and 5974
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