What is the Greatest Common Factor of 73416 and 73423?
Greatest common factor (GCF) of 73416 and 73423 is 7.
GCF(73416,73423) = 7
We will now calculate the prime factors of 73416 and 73423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73416 and 73423.
How to find the GCF of 73416 and 73423?
We will first find the prime factorization of 73416 and 73423. After we will calculate the factors of 73416 and 73423 and find the biggest common factor number .
Step-1: Prime Factorization of 73416
Prime factors of 73416 are 2, 3, 7, 19, 23. Prime factorization of 73416 in exponential form is:
73416 = 23 × 31 × 71 × 191 × 231
Step-2: Prime Factorization of 73423
Prime factors of 73423 are 7, 17, 617. Prime factorization of 73423 in exponential form is:
73423 = 71 × 171 × 6171
Step-3: Factors of 73416
List of positive integer factors of 73416 that divides 73416 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 23, 24, 28, 38, 42, 46, 56, 57, 69, 76, 84, 92, 114, 133, 138, 152, 161, 168, 184, 228, 266, 276, 322, 399, 437, 456, 483, 532, 552, 644, 798, 874, 966, 1064, 1288, 1311, 1596, 1748, 1932, 2622, 3059, 3192, 3496, 3864, 5244, 6118, 9177, 10488, 12236, 18354, 24472, 36708
Step-4: Factors of 73423
List of positive integer factors of 73423 that divides 73416 without a remainder.
1, 7, 17, 119, 617, 4319, 10489
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73416 and 73423. The biggest common factor number is the GCF number.
So the greatest common factor 73416 and 73423 is 7.
Also check out the Least Common Multiple of 73416 and 73423
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Related Greatest Common Factors of 73423
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