What is the Greatest Common Factor of 33790 and 33810?
Greatest common factor (GCF) of 33790 and 33810 is 10.
GCF(33790,33810) = 10
We will now calculate the prime factors of 33790 and 33810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33790 and 33810.
How to find the GCF of 33790 and 33810?
We will first find the prime factorization of 33790 and 33810. After we will calculate the factors of 33790 and 33810 and find the biggest common factor number .
Step-1: Prime Factorization of 33790
Prime factors of 33790 are 2, 5, 31, 109. Prime factorization of 33790 in exponential form is:
33790 = 21 × 51 × 311 × 1091
Step-2: Prime Factorization of 33810
Prime factors of 33810 are 2, 3, 5, 7, 23. Prime factorization of 33810 in exponential form is:
33810 = 21 × 31 × 51 × 72 × 231
Step-3: Factors of 33790
List of positive integer factors of 33790 that divides 33790 without a remainder.
1, 2, 5, 10, 31, 62, 109, 155, 218, 310, 545, 1090, 3379, 6758, 16895
Step-4: Factors of 33810
List of positive integer factors of 33810 that divides 33790 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 49, 69, 70, 98, 105, 115, 138, 147, 161, 210, 230, 245, 294, 322, 345, 483, 490, 690, 735, 805, 966, 1127, 1470, 1610, 2254, 2415, 3381, 4830, 5635, 6762, 11270, 16905
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33790 and 33810. The biggest common factor number is the GCF number.
So the greatest common factor 33790 and 33810 is 10.
Also check out the Least Common Multiple of 33790 and 33810
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