What is the Greatest Common Factor of 15043 and 15060?
Greatest common factor (GCF) of 15043 and 15060 is 1.
GCF(15043,15060) = 1
We will now calculate the prime factors of 15043 and 15060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15043 and 15060.
How to find the GCF of 15043 and 15060?
We will first find the prime factorization of 15043 and 15060. After we will calculate the factors of 15043 and 15060 and find the biggest common factor number .
Step-1: Prime Factorization of 15043
Prime factors of 15043 are 7, 307. Prime factorization of 15043 in exponential form is:
15043 = 72 × 3071
Step-2: Prime Factorization of 15060
Prime factors of 15060 are 2, 3, 5, 251. Prime factorization of 15060 in exponential form is:
15060 = 22 × 31 × 51 × 2511
Step-3: Factors of 15043
List of positive integer factors of 15043 that divides 15043 without a remainder.
1, 7, 49, 307, 2149
Step-4: Factors of 15060
List of positive integer factors of 15060 that divides 15043 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 251, 502, 753, 1004, 1255, 1506, 2510, 3012, 3765, 5020, 7530
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15043 and 15060. The biggest common factor number is the GCF number.
So the greatest common factor 15043 and 15060 is 1.
Also check out the Least Common Multiple of 15043 and 15060
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