What is the Greatest Common Factor of 31280 and 31295?
Greatest common factor (GCF) of 31280 and 31295 is 5.
GCF(31280,31295) = 5
We will now calculate the prime factors of 31280 and 31295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31280 and 31295.
How to find the GCF of 31280 and 31295?
We will first find the prime factorization of 31280 and 31295. After we will calculate the factors of 31280 and 31295 and find the biggest common factor number .
Step-1: Prime Factorization of 31280
Prime factors of 31280 are 2, 5, 17, 23. Prime factorization of 31280 in exponential form is:
31280 = 24 × 51 × 171 × 231
Step-2: Prime Factorization of 31295
Prime factors of 31295 are 5, 11, 569. Prime factorization of 31295 in exponential form is:
31295 = 51 × 111 × 5691
Step-3: Factors of 31280
List of positive integer factors of 31280 that divides 31280 without a remainder.
1, 2, 4, 5, 8, 10, 16, 17, 20, 23, 34, 40, 46, 68, 80, 85, 92, 115, 136, 170, 184, 230, 272, 340, 368, 391, 460, 680, 782, 920, 1360, 1564, 1840, 1955, 3128, 3910, 6256, 7820, 15640
Step-4: Factors of 31295
List of positive integer factors of 31295 that divides 31280 without a remainder.
1, 5, 11, 55, 569, 2845, 6259
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31280 and 31295. The biggest common factor number is the GCF number.
So the greatest common factor 31280 and 31295 is 5.
Also check out the Least Common Multiple of 31280 and 31295
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