What is the Greatest Common Factor of 15880 and 15885?
Greatest common factor (GCF) of 15880 and 15885 is 5.
GCF(15880,15885) = 5
We will now calculate the prime factors of 15880 and 15885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15880 and 15885.
How to find the GCF of 15880 and 15885?
We will first find the prime factorization of 15880 and 15885. After we will calculate the factors of 15880 and 15885 and find the biggest common factor number .
Step-1: Prime Factorization of 15880
Prime factors of 15880 are 2, 5, 397. Prime factorization of 15880 in exponential form is:
15880 = 23 × 51 × 3971
Step-2: Prime Factorization of 15885
Prime factors of 15885 are 3, 5, 353. Prime factorization of 15885 in exponential form is:
15885 = 32 × 51 × 3531
Step-3: Factors of 15880
List of positive integer factors of 15880 that divides 15880 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 397, 794, 1588, 1985, 3176, 3970, 7940
Step-4: Factors of 15885
List of positive integer factors of 15885 that divides 15880 without a remainder.
1, 3, 5, 9, 15, 45, 353, 1059, 1765, 3177, 5295
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15880 and 15885. The biggest common factor number is the GCF number.
So the greatest common factor 15880 and 15885 is 5.
Also check out the Least Common Multiple of 15880 and 15885
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