What is the Greatest Common Factor of 78950 and 78970?

Greatest common factor (GCF) of 78950 and 78970 is 10.

GCF(78950,78970) = 10

We will now calculate the prime factors of 78950 and 78970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78950 and 78970.

How to find the GCF of 78950 and 78970?

We will first find the prime factorization of 78950 and 78970. After we will calculate the factors of 78950 and 78970 and find the biggest common factor number .

Step-1: Prime Factorization of 78950

Prime factors of 78950 are 2, 5, 1579. Prime factorization of 78950 in exponential form is:

78950 = 2¹ × 5² × 1579¹

Step-2: Prime Factorization of 78970

Prime factors of 78970 are 2, 5, 53, 149. Prime factorization of 78970 in exponential form is:

78970 = 2¹ × 5¹ × 53¹ × 149¹

Step-3: Factors of 78950

List of positive integer factors of 78950 that divides 78950 without a remainder.

1, 2, 5, 10, 25, 50, 1579, 3158, 7895, 15790, 39475

Step-4: Factors of 78970

List of positive integer factors of 78970 that divides 78950 without a remainder.

1, 2, 5, 10, 53, 106, 149, 265, 298, 530, 745, 1490, 7897, 15794, 39485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78950 and 78970. The biggest common factor number is the GCF number.
So the greatest common factor 78950 and 78970 is 10.

Also check out the Least Common Multiple of 78950 and 78970