What is the Greatest Common Factor of 35956 and 35976?
Greatest common factor (GCF) of 35956 and 35976 is 4.
GCF(35956,35976) = 4
We will now calculate the prime factors of 35956 and 35976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35956 and 35976.
How to find the GCF of 35956 and 35976?
We will first find the prime factorization of 35956 and 35976. After we will calculate the factors of 35956 and 35976 and find the biggest common factor number .
Step-1: Prime Factorization of 35956
Prime factors of 35956 are 2, 89, 101. Prime factorization of 35956 in exponential form is:
35956 = 22 × 891 × 1011
Step-2: Prime Factorization of 35976
Prime factors of 35976 are 2, 3, 1499. Prime factorization of 35976 in exponential form is:
35976 = 23 × 31 × 14991
Step-3: Factors of 35956
List of positive integer factors of 35956 that divides 35956 without a remainder.
1, 2, 4, 89, 101, 178, 202, 356, 404, 8989, 17978
Step-4: Factors of 35976
List of positive integer factors of 35976 that divides 35956 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 1499, 2998, 4497, 5996, 8994, 11992, 17988
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35956 and 35976. The biggest common factor number is the GCF number.
So the greatest common factor 35956 and 35976 is 4.
Also check out the Least Common Multiple of 35956 and 35976
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