What is the Greatest Common Factor of 46460 and 46470?
Greatest common factor (GCF) of 46460 and 46470 is 10.
GCF(46460,46470) = 10
We will now calculate the prime factors of 46460 and 46470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46460 and 46470.
How to find the GCF of 46460 and 46470?
We will first find the prime factorization of 46460 and 46470. After we will calculate the factors of 46460 and 46470 and find the biggest common factor number .
Step-1: Prime Factorization of 46460
Prime factors of 46460 are 2, 5, 23, 101. Prime factorization of 46460 in exponential form is:
46460 = 22 × 51 × 231 × 1011
Step-2: Prime Factorization of 46470
Prime factors of 46470 are 2, 3, 5, 1549. Prime factorization of 46470 in exponential form is:
46470 = 21 × 31 × 51 × 15491
Step-3: Factors of 46460
List of positive integer factors of 46460 that divides 46460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 101, 115, 202, 230, 404, 460, 505, 1010, 2020, 2323, 4646, 9292, 11615, 23230
Step-4: Factors of 46470
List of positive integer factors of 46470 that divides 46460 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 1549, 3098, 4647, 7745, 9294, 15490, 23235
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 46460 and 46470. The biggest common factor number is the GCF number.
So the greatest common factor 46460 and 46470 is 10.
Also check out the Least Common Multiple of 46460 and 46470
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Related Greatest Common Factors of 46470
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