What is the Greatest Common Factor of 73934 and 73944?
Greatest common factor (GCF) of 73934 and 73944 is 2.
GCF(73934,73944) = 2
We will now calculate the prime factors of 73934 and 73944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73934 and 73944.
How to find the GCF of 73934 and 73944?
We will first find the prime factorization of 73934 and 73944. After we will calculate the factors of 73934 and 73944 and find the biggest common factor number .
Step-1: Prime Factorization of 73934
Prime factors of 73934 are 2, 7, 5281. Prime factorization of 73934 in exponential form is:
73934 = 21 × 71 × 52811
Step-2: Prime Factorization of 73944
Prime factors of 73944 are 2, 3, 13, 79. Prime factorization of 73944 in exponential form is:
73944 = 23 × 32 × 131 × 791
Step-3: Factors of 73934
List of positive integer factors of 73934 that divides 73934 without a remainder.
1, 2, 7, 14, 5281, 10562, 36967
Step-4: Factors of 73944
List of positive integer factors of 73944 that divides 73934 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 79, 104, 117, 156, 158, 234, 237, 312, 316, 468, 474, 632, 711, 936, 948, 1027, 1422, 1896, 2054, 2844, 3081, 4108, 5688, 6162, 8216, 9243, 12324, 18486, 24648, 36972
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73934 and 73944. The biggest common factor number is the GCF number.
So the greatest common factor 73934 and 73944 is 2.
Also check out the Least Common Multiple of 73934 and 73944
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