What is the Greatest Common Factor of 85985 and 85990?
Greatest common factor (GCF) of 85985 and 85990 is 5.
GCF(85985,85990) = 5
We will now calculate the prime factors of 85985 and 85990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85985 and 85990.
How to find the GCF of 85985 and 85990?
We will first find the prime factorization of 85985 and 85990. After we will calculate the factors of 85985 and 85990 and find the biggest common factor number .
Step-1: Prime Factorization of 85985
Prime factors of 85985 are 5, 29, 593. Prime factorization of 85985 in exponential form is:
85985 = 51 × 291 × 5931
Step-2: Prime Factorization of 85990
Prime factors of 85990 are 2, 5, 8599. Prime factorization of 85990 in exponential form is:
85990 = 21 × 51 × 85991
Step-3: Factors of 85985
List of positive integer factors of 85985 that divides 85985 without a remainder.
1, 5, 29, 145, 593, 2965, 17197
Step-4: Factors of 85990
List of positive integer factors of 85990 that divides 85985 without a remainder.
1, 2, 5, 10, 8599, 17198, 42995
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 85985 and 85990. The biggest common factor number is the GCF number.
So the greatest common factor 85985 and 85990 is 5.
Also check out the Least Common Multiple of 85985 and 85990
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