What is the Greatest Common Factor of 949 and 957?
Greatest common factor (GCF) of 949 and 957 is 1.
GCF(949,957) = 1
We will now calculate the prime factors of 949 and 957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 949 and 957.
How to find the GCF of 949 and 957?
We will first find the prime factorization of 949 and 957. After we will calculate the factors of 949 and 957 and find the biggest common factor number .
Step-1: Prime Factorization of 949
Prime factors of 949 are 13, 73. Prime factorization of 949 in exponential form is:
949 = 131 × 731
Step-2: Prime Factorization of 957
Prime factors of 957 are 3, 11, 29. Prime factorization of 957 in exponential form is:
957 = 31 × 111 × 291
Step-3: Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1, 13, 73
Step-4: Factors of 957
List of positive integer factors of 957 that divides 949 without a remainder.
1, 3, 11, 29, 33, 87, 319
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 949 and 957. The biggest common factor number is the GCF number.
So the greatest common factor 949 and 957 is 1.
Also check out the Least Common Multiple of 949 and 957
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