What is the Greatest Common Factor of 964 and 972?
Greatest common factor (GCF) of 964 and 972 is 4.
GCF(964,972) = 4
We will now calculate the prime factors of 964 and 972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 964 and 972.
How to find the GCF of 964 and 972?
We will first find the prime factorization of 964 and 972. After we will calculate the factors of 964 and 972 and find the biggest common factor number .
Step-1: Prime Factorization of 964
Prime factors of 964 are 2, 241. Prime factorization of 964 in exponential form is:
964 = 22 × 2411
Step-2: Prime Factorization of 972
Prime factors of 972 are 2, 3. Prime factorization of 972 in exponential form is:
972 = 22 × 35
Step-3: Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482
Step-4: Factors of 972
List of positive integer factors of 972 that divides 964 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 964 and 972. The biggest common factor number is the GCF number.
So the greatest common factor 964 and 972 is 4.
Also check out the Least Common Multiple of 964 and 972
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