What is the Greatest Common Factor of 65050 and 65060?
Greatest common factor (GCF) of 65050 and 65060 is 10.
GCF(65050,65060) = 10
We will now calculate the prime factors of 65050 and 65060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65050 and 65060.
How to find the GCF of 65050 and 65060?
We will first find the prime factorization of 65050 and 65060. After we will calculate the factors of 65050 and 65060 and find the biggest common factor number .
Step-1: Prime Factorization of 65050
Prime factors of 65050 are 2, 5, 1301. Prime factorization of 65050 in exponential form is:
65050 = 21 × 52 × 13011
Step-2: Prime Factorization of 65060
Prime factors of 65060 are 2, 5, 3253. Prime factorization of 65060 in exponential form is:
65060 = 22 × 51 × 32531
Step-3: Factors of 65050
List of positive integer factors of 65050 that divides 65050 without a remainder.
1, 2, 5, 10, 25, 50, 1301, 2602, 6505, 13010, 32525
Step-4: Factors of 65060
List of positive integer factors of 65060 that divides 65050 without a remainder.
1, 2, 4, 5, 10, 20, 3253, 6506, 13012, 16265, 32530
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65050 and 65060. The biggest common factor number is the GCF number.
So the greatest common factor 65050 and 65060 is 10.
Also check out the Least Common Multiple of 65050 and 65060
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