What is the Greatest Common Factor of 65360 and 65380?
Greatest common factor (GCF) of 65360 and 65380 is 20.
GCF(65360,65380) = 20
We will now calculate the prime factors of 65360 and 65380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65360 and 65380.
How to find the GCF of 65360 and 65380?
We will first find the prime factorization of 65360 and 65380. After we will calculate the factors of 65360 and 65380 and find the biggest common factor number .
Step-1: Prime Factorization of 65360
Prime factors of 65360 are 2, 5, 19, 43. Prime factorization of 65360 in exponential form is:
65360 = 24 × 51 × 191 × 431
Step-2: Prime Factorization of 65380
Prime factors of 65380 are 2, 5, 7, 467. Prime factorization of 65380 in exponential form is:
65380 = 22 × 51 × 71 × 4671
Step-3: Factors of 65360
List of positive integer factors of 65360 that divides 65360 without a remainder.
1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 43, 76, 80, 86, 95, 152, 172, 190, 215, 304, 344, 380, 430, 688, 760, 817, 860, 1520, 1634, 1720, 3268, 3440, 4085, 6536, 8170, 13072, 16340, 32680
Step-4: Factors of 65380
List of positive integer factors of 65380 that divides 65360 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 467, 934, 1868, 2335, 3269, 4670, 6538, 9340, 13076, 16345, 32690
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65360 and 65380. The biggest common factor number is the GCF number.
So the greatest common factor 65360 and 65380 is 20.
Also check out the Least Common Multiple of 65360 and 65380
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