What is the greatest common factor of 50 and 78?

Answer 1

Answer:

The common factors of 50 and 98 are 1 and 2.

The greatest common factor of 50 and 98 is 2.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 50 are 1, 2, 5, 10, 25, and 50.

The factors of 98 are 1, 2, 7, 14, 49, and 98.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. To then obtain the common factors, list all the factors of the greatest common factor.

The prime factors of 50 are 2, 5, and 5.

The prime factors of 98 are 2, 7, and 7.

The prime factors in common are only the number 2, so the greatest common factor is 2. The factors of 2 are 1 and 2, which are the common factors.
The greatest common factor of 98 and 50 is 2.

Answer 2

The GCF of 68 and 78 = 2

The factors of 68 = 2 x2 x 17

The factors of 78 = 2 x 3 x 13

The GCF = 2

Answer 3

The GCF of 50 and 78 is 2.

Answer 4

The greatest common factor (GCF) is 2.