What is the Greatest Common Factor of 4429 and 4440?
Greatest common factor (GCF) of 4429 and 4440 is 1.
GCF(4429,4440) = 1
We will now calculate the prime factors of 4429 and 4440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4429 and 4440.
How to find the GCF of 4429 and 4440?
We will first find the prime factorization of 4429 and 4440. After we will calculate the factors of 4429 and 4440 and find the biggest common factor number .
Step-1: Prime Factorization of 4429
Prime factors of 4429 are 43, 103. Prime factorization of 4429 in exponential form is:
4429 = 431 × 1031
Step-2: Prime Factorization of 4440
Prime factors of 4440 are 2, 3, 5, 37. Prime factorization of 4440 in exponential form is:
4440 = 23 × 31 × 51 × 371
Step-3: Factors of 4429
List of positive integer factors of 4429 that divides 4429 without a remainder.
1, 43, 103
Step-4: Factors of 4440
List of positive integer factors of 4440 that divides 4429 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4429 and 4440. The biggest common factor number is the GCF number.
So the greatest common factor 4429 and 4440 is 1.
Also check out the Least Common Multiple of 4429 and 4440
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Related Greatest Common Factors of 4440
- GCF of 4440 and 4444
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- GCF of 4440 and 4455
- GCF of 4440 and 4456
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