What is the Greatest Common Factor of 50990 and 51002?
Greatest common factor (GCF) of 50990 and 51002 is 2.
GCF(50990,51002) = 2
We will now calculate the prime factors of 50990 and 51002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50990 and 51002.
How to find the GCF of 50990 and 51002?
We will first find the prime factorization of 50990 and 51002. After we will calculate the factors of 50990 and 51002 and find the biggest common factor number .
Step-1: Prime Factorization of 50990
Prime factors of 50990 are 2, 5, 5099. Prime factorization of 50990 in exponential form is:
50990 = 21 × 51 × 50991
Step-2: Prime Factorization of 51002
Prime factors of 51002 are 2, 7, 3643. Prime factorization of 51002 in exponential form is:
51002 = 21 × 71 × 36431
Step-3: Factors of 50990
List of positive integer factors of 50990 that divides 50990 without a remainder.
1, 2, 5, 10, 5099, 10198, 25495
Step-4: Factors of 51002
List of positive integer factors of 51002 that divides 50990 without a remainder.
1, 2, 7, 14, 3643, 7286, 25501
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50990 and 51002. The biggest common factor number is the GCF number.
So the greatest common factor 50990 and 51002 is 2.
Also check out the Least Common Multiple of 50990 and 51002
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