What is the Greatest Common Factor of 94740 and 94754?
Greatest common factor (GCF) of 94740 and 94754 is 2.
GCF(94740,94754) = 2
We will now calculate the prime factors of 94740 and 94754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94740 and 94754.
How to find the GCF of 94740 and 94754?
We will first find the prime factorization of 94740 and 94754. After we will calculate the factors of 94740 and 94754 and find the biggest common factor number .
Step-1: Prime Factorization of 94740
Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:
94740 = 22 × 31 × 51 × 15791
Step-2: Prime Factorization of 94754
Prime factors of 94754 are 2, 11, 59, 73. Prime factorization of 94754 in exponential form is:
94754 = 21 × 111 × 591 × 731
Step-3: Factors of 94740
List of positive integer factors of 94740 that divides 94740 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1579, 3158, 4737, 6316, 7895, 9474, 15790, 18948, 23685, 31580, 47370
Step-4: Factors of 94754
List of positive integer factors of 94754 that divides 94740 without a remainder.
1, 2, 11, 22, 59, 73, 118, 146, 649, 803, 1298, 1606, 4307, 8614, 47377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 94740 and 94754. The biggest common factor number is the GCF number.
So the greatest common factor 94740 and 94754 is 2.
Also check out the Least Common Multiple of 94740 and 94754
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