What is the Greatest Common Factor of 59984 and 59990?
Greatest common factor (GCF) of 59984 and 59990 is 2.
GCF(59984,59990) = 2
We will now calculate the prime factors of 59984 and 59990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59984 and 59990.
How to find the GCF of 59984 and 59990?
We will first find the prime factorization of 59984 and 59990. After we will calculate the factors of 59984 and 59990 and find the biggest common factor number .
Step-1: Prime Factorization of 59984
Prime factors of 59984 are 2, 23, 163. Prime factorization of 59984 in exponential form is:
59984 = 24 × 231 × 1631
Step-2: Prime Factorization of 59990
Prime factors of 59990 are 2, 5, 7, 857. Prime factorization of 59990 in exponential form is:
59990 = 21 × 51 × 71 × 8571
Step-3: Factors of 59984
List of positive integer factors of 59984 that divides 59984 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 163, 184, 326, 368, 652, 1304, 2608, 3749, 7498, 14996, 29992
Step-4: Factors of 59990
List of positive integer factors of 59990 that divides 59984 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 857, 1714, 4285, 5999, 8570, 11998, 29995
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59984 and 59990. The biggest common factor number is the GCF number.
So the greatest common factor 59984 and 59990 is 2.
Also check out the Least Common Multiple of 59984 and 59990
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