What is the Greatest Common Factor of 4734 and 4754?
Greatest common factor (GCF) of 4734 and 4754 is 2.
GCF(4734,4754) = 2
We will now calculate the prime factors of 4734 and 4754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4734 and 4754.
How to find the GCF of 4734 and 4754?
We will first find the prime factorization of 4734 and 4754. After we will calculate the factors of 4734 and 4754 and find the biggest common factor number .
Step-1: Prime Factorization of 4734
Prime factors of 4734 are 2, 3, 263. Prime factorization of 4734 in exponential form is:
4734 = 21 × 32 × 2631
Step-2: Prime Factorization of 4754
Prime factors of 4754 are 2, 2377. Prime factorization of 4754 in exponential form is:
4754 = 21 × 23771
Step-3: Factors of 4734
List of positive integer factors of 4734 that divides 4734 without a remainder.
1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367
Step-4: Factors of 4754
List of positive integer factors of 4754 that divides 4734 without a remainder.
1, 2, 2377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4734 and 4754. The biggest common factor number is the GCF number.
So the greatest common factor 4734 and 4754 is 2.
Also check out the Least Common Multiple of 4734 and 4754
Related Greatest Common Factors of 4734
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Related Greatest Common Factors of 4754
- GCF of 4754 and 4758
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