What is the Greatest Common Factor of 50762 and 50770?
Greatest common factor (GCF) of 50762 and 50770 is 2.
GCF(50762,50770) = 2
We will now calculate the prime factors of 50762 and 50770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50762 and 50770.
How to find the GCF of 50762 and 50770?
We will first find the prime factorization of 50762 and 50770. After we will calculate the factors of 50762 and 50770 and find the biggest common factor number .
Step-1: Prime Factorization of 50762
Prime factors of 50762 are 2, 17, 1493. Prime factorization of 50762 in exponential form is:
50762 = 21 × 171 × 14931
Step-2: Prime Factorization of 50770
Prime factors of 50770 are 2, 5, 5077. Prime factorization of 50770 in exponential form is:
50770 = 21 × 51 × 50771
Step-3: Factors of 50762
List of positive integer factors of 50762 that divides 50762 without a remainder.
1, 2, 17, 34, 1493, 2986, 25381
Step-4: Factors of 50770
List of positive integer factors of 50770 that divides 50762 without a remainder.
1, 2, 5, 10, 5077, 10154, 25385
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50762 and 50770. The biggest common factor number is the GCF number.
So the greatest common factor 50762 and 50770 is 2.
Also check out the Least Common Multiple of 50762 and 50770
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