What is the Greatest Common Factor of 58004 and 58024?
Greatest common factor (GCF) of 58004 and 58024 is 4.
GCF(58004,58024) = 4
We will now calculate the prime factors of 58004 and 58024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58004 and 58024.
How to find the GCF of 58004 and 58024?
We will first find the prime factorization of 58004 and 58024. After we will calculate the factors of 58004 and 58024 and find the biggest common factor number .
Step-1: Prime Factorization of 58004
Prime factors of 58004 are 2, 17, 853. Prime factorization of 58004 in exponential form is:
58004 = 22 × 171 × 8531
Step-2: Prime Factorization of 58024
Prime factors of 58024 are 2, 7253. Prime factorization of 58024 in exponential form is:
58024 = 23 × 72531
Step-3: Factors of 58004
List of positive integer factors of 58004 that divides 58004 without a remainder.
1, 2, 4, 17, 34, 68, 853, 1706, 3412, 14501, 29002
Step-4: Factors of 58024
List of positive integer factors of 58024 that divides 58004 without a remainder.
1, 2, 4, 8, 7253, 14506, 29012
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58004 and 58024. The biggest common factor number is the GCF number.
So the greatest common factor 58004 and 58024 is 4.
Also check out the Least Common Multiple of 58004 and 58024
Related Greatest Common Factors of 58004
- GCF of 58004 and 58008
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Related Greatest Common Factors of 58024
- GCF of 58024 and 58028
- GCF of 58024 and 58029
- GCF of 58024 and 58030
- GCF of 58024 and 58031
- GCF of 58024 and 58032
- GCF of 58024 and 58033
- GCF of 58024 and 58034
- GCF of 58024 and 58035
- GCF of 58024 and 58036
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- GCF of 58024 and 58038
- GCF of 58024 and 58039
- GCF of 58024 and 58040
- GCF of 58024 and 58041
- GCF of 58024 and 58042
- GCF of 58024 and 58043
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