What is the Greatest Common Factor of 2956 and 2965?
Greatest common factor (GCF) of 2956 and 2965 is 1.
GCF(2956,2965) = 1
We will now calculate the prime factors of 2956 and 2965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2956 and 2965.
How to find the GCF of 2956 and 2965?
We will first find the prime factorization of 2956 and 2965. After we will calculate the factors of 2956 and 2965 and find the biggest common factor number .
Step-1: Prime Factorization of 2956
Prime factors of 2956 are 2, 739. Prime factorization of 2956 in exponential form is:
2956 = 22 × 7391
Step-2: Prime Factorization of 2965
Prime factors of 2965 are 5, 593. Prime factorization of 2965 in exponential form is:
2965 = 51 × 5931
Step-3: Factors of 2956
List of positive integer factors of 2956 that divides 2956 without a remainder.
1, 2, 4, 739, 1478
Step-4: Factors of 2965
List of positive integer factors of 2965 that divides 2956 without a remainder.
1, 5, 593
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2956 and 2965. The biggest common factor number is the GCF number.
So the greatest common factor 2956 and 2965 is 1.
Also check out the Least Common Multiple of 2956 and 2965
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