The greatest common factor of 2 and 3 is 1. This is because 2 and 3 are prime numbers, that is, they only have themselves and one as factors. NOTE: Any time that one of the numbers is a prime number and the other is not a multiple of that Prime number, the greatest common factor is 1.
Another way to approach this, especially with larger numbers (but this makes a good example) is to look at the difference between 2 and 3, which is 1. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. If the difference is 1, the greatest common factor is 1.
21 = 3 * 7 72 = 2 * 2 * 2 * 3 * 3 the greatest common factor is 3
The greatest common factor is 6 12= 2*2*3 42= 2*3*7 2*3= 6
The greatest common factor of 3 and 57 is 3
72 is factored into: 2*2*2*3*3 142 factored into: 2*71 Their greatest common factor is just 2
248 = 2^3 * 31 132 = 2^2 * 3 * 11 So their greatest common factor is 2^2 = 4.
The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 30 are 2, 3, and 5. The prime factors 1224 are 2, 2, 2, 3, 3, and 17. The prime factors in common are 2 and 3, so the greatest common factor is 2 x 3 = 6.
Since 6 is a factor of 48, and 6 is the largest factor of itself, 6 is the greatest common factor. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 6 are 1, 2, 3, and 6. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The common factors are 1, 2, 3, and 6. Therefore, 6 is the greatest common factor. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 6 are 2 and 3. The prime factors of 48 are 2, 2, 2, 2, and 3. The common prime factors are 2 and 3, so the greatest common factor is 2 x 3 = 6.
The greatest common factor of 9 (3 x 3) and 16 (2 x 2 x 2 x 2) is 1.
The greatest common factor of 30 and 39 is 3.
The greatest common factor of 3 and 63 is 3.
The greatest common factor of 3 and 1,200 is 3.
The greatest common factor (GCF) is 3.