What is the Greatest Common Factor of 45460 and 45478?
Greatest common factor (GCF) of 45460 and 45478 is 2.
GCF(45460,45478) = 2
We will now calculate the prime factors of 45460 and 45478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45460 and 45478.
How to find the GCF of 45460 and 45478?
We will first find the prime factorization of 45460 and 45478. After we will calculate the factors of 45460 and 45478 and find the biggest common factor number .
Step-1: Prime Factorization of 45460
Prime factors of 45460 are 2, 5, 2273. Prime factorization of 45460 in exponential form is:
45460 = 22 × 51 × 22731
Step-2: Prime Factorization of 45478
Prime factors of 45478 are 2, 22739. Prime factorization of 45478 in exponential form is:
45478 = 21 × 227391
Step-3: Factors of 45460
List of positive integer factors of 45460 that divides 45460 without a remainder.
1, 2, 4, 5, 10, 20, 2273, 4546, 9092, 11365, 22730
Step-4: Factors of 45478
List of positive integer factors of 45478 that divides 45460 without a remainder.
1, 2, 22739
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45460 and 45478. The biggest common factor number is the GCF number.
So the greatest common factor 45460 and 45478 is 2.
Also check out the Least Common Multiple of 45460 and 45478
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