To find the greatest common factor (GCF) of 120 and 210, we need to determine the largest number that divides evenly into both numbers. One way to do this is to find the prime factorization of each number. The prime factorization of 120 is 2^3 * 3 * 5, and the prime factorization of 210 is 2 * 3 * 5 * 7. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 2 * 3 * 5 = 30. Therefore, the greatest common factor of 120 and 210 is 30.
The GCF of 120 and 210 is 30.
One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.
The common factors are 1, 2, 3, 6, 10, 15, and 30. Therefore, the greatest common factor is 30.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 120 are 2, 2, 2, 3, and 5.
The prime factors of 210 are 2, 3, 5, and 7.
The prime factors in common are 2, 3, and 5, so the greatest common factor is 2 x 3 x 5 = 30.
The greatest common factor of 170 and 210 is 10
The greatest common factor of 105, 126, and 210 is 21
The GCF of 210, 252, and 294 is 42
210
The greatest common factor of 2940 and 3150 is 210. Source: http://www.mathwarehouse.com/arithmetic/numbers/GCF/greatest-common-factor-calculator.php
It is: 30
The greatest common factor of 1200 and 210 is 30.
The greatest common factor of 66 and 210 is 6.
The greatest common factor of 154 , 210 = 14
The greatest common factor of 170 and 210 is 10
The greatest common factor of 105, 126, and 210 is 21
The greatest common factor of the numbers 210 and 84 is 42.
The Greatest Common Factor (GCF) is: 30
The GCF of 210, 252, and 294 is 42
The greatest common factor of 420 , 2310 = 210
30
Since 105 is a factor of 210, it is automatically the GCF.