What is the Greatest Common Factor of 11490 and 11510?
Greatest common factor (GCF) of 11490 and 11510 is 10.
GCF(11490,11510) = 10
We will now calculate the prime factors of 11490 and 11510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11490 and 11510.
How to find the GCF of 11490 and 11510?
We will first find the prime factorization of 11490 and 11510. After we will calculate the factors of 11490 and 11510 and find the biggest common factor number .
Step-1: Prime Factorization of 11490
Prime factors of 11490 are 2, 3, 5, 383. Prime factorization of 11490 in exponential form is:
11490 = 21 × 31 × 51 × 3831
Step-2: Prime Factorization of 11510
Prime factors of 11510 are 2, 5, 1151. Prime factorization of 11510 in exponential form is:
11510 = 21 × 51 × 11511
Step-3: Factors of 11490
List of positive integer factors of 11490 that divides 11490 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 383, 766, 1149, 1915, 2298, 3830, 5745
Step-4: Factors of 11510
List of positive integer factors of 11510 that divides 11490 without a remainder.
1, 2, 5, 10, 1151, 2302, 5755
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11490 and 11510. The biggest common factor number is the GCF number.
So the greatest common factor 11490 and 11510 is 10.
Also check out the Least Common Multiple of 11490 and 11510
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