What is the Greatest Common Factor of 40810 and 40825?
Greatest common factor (GCF) of 40810 and 40825 is 5.
GCF(40810,40825) = 5
We will now calculate the prime factors of 40810 and 40825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40810 and 40825.
How to find the GCF of 40810 and 40825?
We will first find the prime factorization of 40810 and 40825. After we will calculate the factors of 40810 and 40825 and find the biggest common factor number .
Step-1: Prime Factorization of 40810
Prime factors of 40810 are 2, 5, 7, 11, 53. Prime factorization of 40810 in exponential form is:
40810 = 21 × 51 × 71 × 111 × 531
Step-2: Prime Factorization of 40825
Prime factors of 40825 are 5, 23, 71. Prime factorization of 40825 in exponential form is:
40825 = 52 × 231 × 711
Step-3: Factors of 40810
List of positive integer factors of 40810 that divides 40810 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 53, 55, 70, 77, 106, 110, 154, 265, 371, 385, 530, 583, 742, 770, 1166, 1855, 2915, 3710, 4081, 5830, 8162, 20405
Step-4: Factors of 40825
List of positive integer factors of 40825 that divides 40810 without a remainder.
1, 5, 23, 25, 71, 115, 355, 575, 1633, 1775, 8165
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40810 and 40825. The biggest common factor number is the GCF number.
So the greatest common factor 40810 and 40825 is 5.
Also check out the Least Common Multiple of 40810 and 40825
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