What is the Greatest Common Factor of 50862 and 50874?
Greatest common factor (GCF) of 50862 and 50874 is 6.
GCF(50862,50874) = 6
We will now calculate the prime factors of 50862 and 50874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50862 and 50874.
How to find the GCF of 50862 and 50874?
We will first find the prime factorization of 50862 and 50874. After we will calculate the factors of 50862 and 50874 and find the biggest common factor number .
Step-1: Prime Factorization of 50862
Prime factors of 50862 are 2, 3, 7, 173. Prime factorization of 50862 in exponential form is:
50862 = 21 × 31 × 72 × 1731
Step-2: Prime Factorization of 50874
Prime factors of 50874 are 2, 3, 61, 139. Prime factorization of 50874 in exponential form is:
50874 = 21 × 31 × 611 × 1391
Step-3: Factors of 50862
List of positive integer factors of 50862 that divides 50862 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 173, 294, 346, 519, 1038, 1211, 2422, 3633, 7266, 8477, 16954, 25431
Step-4: Factors of 50874
List of positive integer factors of 50874 that divides 50862 without a remainder.
1, 2, 3, 6, 61, 122, 139, 183, 278, 366, 417, 834, 8479, 16958, 25437
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50862 and 50874. The biggest common factor number is the GCF number.
So the greatest common factor 50862 and 50874 is 6.
Also check out the Least Common Multiple of 50862 and 50874
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