What is the Greatest Common Factor of 944 and 952?
Greatest common factor (GCF) of 944 and 952 is 8.
GCF(944,952) = 8
We will now calculate the prime factors of 944 and 952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 944 and 952.
How to find the GCF of 944 and 952?
We will first find the prime factorization of 944 and 952. After we will calculate the factors of 944 and 952 and find the biggest common factor number .
Step-1: Prime Factorization of 944
Prime factors of 944 are 2, 59. Prime factorization of 944 in exponential form is:
944 = 24 × 591
Step-2: Prime Factorization of 952
Prime factors of 952 are 2, 7, 17. Prime factorization of 952 in exponential form is:
952 = 23 × 71 × 171
Step-3: Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472
Step-4: Factors of 952
List of positive integer factors of 952 that divides 944 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 944 and 952. The biggest common factor number is the GCF number.
So the greatest common factor 944 and 952 is 8.
Also check out the Least Common Multiple of 944 and 952
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