What is the Greatest Common Factor of 90302 and 90320?
Greatest common factor (GCF) of 90302 and 90320 is 2.
GCF(90302,90320) = 2
We will now calculate the prime factors of 90302 and 90320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90302 and 90320.
How to find the GCF of 90302 and 90320?
We will first find the prime factorization of 90302 and 90320. After we will calculate the factors of 90302 and 90320 and find the biggest common factor number .
Step-1: Prime Factorization of 90302
Prime factors of 90302 are 2, 163, 277. Prime factorization of 90302 in exponential form is:
90302 = 21 × 1631 × 2771
Step-2: Prime Factorization of 90320
Prime factors of 90320 are 2, 5, 1129. Prime factorization of 90320 in exponential form is:
90320 = 24 × 51 × 11291
Step-3: Factors of 90302
List of positive integer factors of 90302 that divides 90302 without a remainder.
1, 2, 163, 277, 326, 554, 45151
Step-4: Factors of 90320
List of positive integer factors of 90320 that divides 90302 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1129, 2258, 4516, 5645, 9032, 11290, 18064, 22580, 45160
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 90302 and 90320. The biggest common factor number is the GCF number.
So the greatest common factor 90302 and 90320 is 2.
Also check out the Least Common Multiple of 90302 and 90320
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