What is the Greatest Common Factor of 65402 and 65410?
Greatest common factor (GCF) of 65402 and 65410 is 2.
GCF(65402,65410) = 2
We will now calculate the prime factors of 65402 and 65410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65402 and 65410.
How to find the GCF of 65402 and 65410?
We will first find the prime factorization of 65402 and 65410. After we will calculate the factors of 65402 and 65410 and find the biggest common factor number .
Step-1: Prime Factorization of 65402
Prime factors of 65402 are 2, 53, 617. Prime factorization of 65402 in exponential form is:
65402 = 21 × 531 × 6171
Step-2: Prime Factorization of 65410
Prime factors of 65410 are 2, 5, 31, 211. Prime factorization of 65410 in exponential form is:
65410 = 21 × 51 × 311 × 2111
Step-3: Factors of 65402
List of positive integer factors of 65402 that divides 65402 without a remainder.
1, 2, 53, 106, 617, 1234, 32701
Step-4: Factors of 65410
List of positive integer factors of 65410 that divides 65402 without a remainder.
1, 2, 5, 10, 31, 62, 155, 211, 310, 422, 1055, 2110, 6541, 13082, 32705
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65402 and 65410. The biggest common factor number is the GCF number.
So the greatest common factor 65402 and 65410 is 2.
Also check out the Least Common Multiple of 65402 and 65410
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