What is the Greatest Common Factor of 39700 and 39715?
Greatest common factor (GCF) of 39700 and 39715 is 5.
GCF(39700,39715) = 5
We will now calculate the prime factors of 39700 and 39715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39700 and 39715.
How to find the GCF of 39700 and 39715?
We will first find the prime factorization of 39700 and 39715. After we will calculate the factors of 39700 and 39715 and find the biggest common factor number .
Step-1: Prime Factorization of 39700
Prime factors of 39700 are 2, 5, 397. Prime factorization of 39700 in exponential form is:
39700 = 22 × 52 × 3971
Step-2: Prime Factorization of 39715
Prime factors of 39715 are 5, 13, 47. Prime factorization of 39715 in exponential form is:
39715 = 51 × 132 × 471
Step-3: Factors of 39700
List of positive integer factors of 39700 that divides 39700 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 397, 794, 1588, 1985, 3970, 7940, 9925, 19850
Step-4: Factors of 39715
List of positive integer factors of 39715 that divides 39700 without a remainder.
1, 5, 13, 47, 65, 169, 235, 611, 845, 3055, 7943
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 39700 and 39715. The biggest common factor number is the GCF number.
So the greatest common factor 39700 and 39715 is 5.
Also check out the Least Common Multiple of 39700 and 39715
Related Greatest Common Factors of 39700
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- GCF of 39700 and 39716
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Related Greatest Common Factors of 39715
- GCF of 39715 and 39719
- GCF of 39715 and 39720
- GCF of 39715 and 39721
- GCF of 39715 and 39722
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- GCF of 39715 and 39724
- GCF of 39715 and 39725
- GCF of 39715 and 39726
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- GCF of 39715 and 39728
- GCF of 39715 and 39729
- GCF of 39715 and 39730
- GCF of 39715 and 39731
- GCF of 39715 and 39732
- GCF of 39715 and 39733
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