What is the Greatest Common Factor of 74632 and 74652?
Greatest common factor (GCF) of 74632 and 74652 is 4.
GCF(74632,74652) = 4
We will now calculate the prime factors of 74632 and 74652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74632 and 74652.
How to find the GCF of 74632 and 74652?
We will first find the prime factorization of 74632 and 74652. After we will calculate the factors of 74632 and 74652 and find the biggest common factor number .
Step-1: Prime Factorization of 74632
Prime factors of 74632 are 2, 19, 491. Prime factorization of 74632 in exponential form is:
74632 = 23 × 191 × 4911
Step-2: Prime Factorization of 74652
Prime factors of 74652 are 2, 3, 6221. Prime factorization of 74652 in exponential form is:
74652 = 22 × 31 × 62211
Step-3: Factors of 74632
List of positive integer factors of 74632 that divides 74632 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152, 491, 982, 1964, 3928, 9329, 18658, 37316
Step-4: Factors of 74652
List of positive integer factors of 74652 that divides 74632 without a remainder.
1, 2, 3, 4, 6, 12, 6221, 12442, 18663, 24884, 37326
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74632 and 74652. The biggest common factor number is the GCF number.
So the greatest common factor 74632 and 74652 is 4.
Also check out the Least Common Multiple of 74632 and 74652
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