What is the Greatest Common Factor of 30985 and 31001?
Greatest common factor (GCF) of 30985 and 31001 is 1.
GCF(30985,31001) = 1
We will now calculate the prime factors of 30985 and 31001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30985 and 31001.
How to find the GCF of 30985 and 31001?
We will first find the prime factorization of 30985 and 31001. After we will calculate the factors of 30985 and 31001 and find the biggest common factor number .
Step-1: Prime Factorization of 30985
Prime factors of 30985 are 5, 6197. Prime factorization of 30985 in exponential form is:
30985 = 51 × 61971
Step-2: Prime Factorization of 31001
Prime factors of 31001 are 29, 1069. Prime factorization of 31001 in exponential form is:
31001 = 291 × 10691
Step-3: Factors of 30985
List of positive integer factors of 30985 that divides 30985 without a remainder.
1, 5, 6197
Step-4: Factors of 31001
List of positive integer factors of 31001 that divides 30985 without a remainder.
1, 29, 1069
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30985 and 31001. The biggest common factor number is the GCF number.
So the greatest common factor 30985 and 31001 is 1.
Also check out the Least Common Multiple of 30985 and 31001
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