Question

35and 50 factors common factor​

Answer 1

Step-by-step explanation:

5 is the common factor between 35 and 50

Answer 2

Answer:

GCF of 35 and 50 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)

where X > Y and mod is the modulo operator.

Here X = 50 and Y = 35

GCF(50, 35) = GCF(35, 50 mod 35) = GCF(35, 15)

GCF(35, 15) = GCF(15, 35 mod 15) = GCF(15, 5)

GCF(15, 5) = GCF(5, 15 mod 5) = GCF(5, 0)

GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 35 and 50 is 5.