What is the Greatest Common Factor of 15040 and 15046?
Greatest common factor (GCF) of 15040 and 15046 is 2.
GCF(15040,15046) = 2
We will now calculate the prime factors of 15040 and 15046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15040 and 15046.
How to find the GCF of 15040 and 15046?
We will first find the prime factorization of 15040 and 15046. After we will calculate the factors of 15040 and 15046 and find the biggest common factor number .
Step-1: Prime Factorization of 15040
Prime factors of 15040 are 2, 5, 47. Prime factorization of 15040 in exponential form is:
15040 = 26 × 51 × 471
Step-2: Prime Factorization of 15046
Prime factors of 15046 are 2, 7523. Prime factorization of 15046 in exponential form is:
15046 = 21 × 75231
Step-3: Factors of 15040
List of positive integer factors of 15040 that divides 15040 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 160, 188, 235, 320, 376, 470, 752, 940, 1504, 1880, 3008, 3760, 7520
Step-4: Factors of 15046
List of positive integer factors of 15046 that divides 15040 without a remainder.
1, 2, 7523
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15040 and 15046. The biggest common factor number is the GCF number.
So the greatest common factor 15040 and 15046 is 2.
Also check out the Least Common Multiple of 15040 and 15046
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