What is the Greatest Common Factor of 42965 and 42970?

Greatest common factor (GCF) of 42965 and 42970 is 5.

GCF(42965,42970) = 5

We will now calculate the prime factors of 42965 and 42970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42965 and 42970.

How to find the GCF of 42965 and 42970?

We will first find the prime factorization of 42965 and 42970. After we will calculate the factors of 42965 and 42970 and find the biggest common factor number .

Step-1: Prime Factorization of 42965

Prime factors of 42965 are 5, 13, 661. Prime factorization of 42965 in exponential form is:

42965 = 5¹ × 13¹ × 661¹

Step-2: Prime Factorization of 42970

Prime factors of 42970 are 2, 5, 4297. Prime factorization of 42970 in exponential form is:

42970 = 2¹ × 5¹ × 4297¹

Step-3: Factors of 42965

List of positive integer factors of 42965 that divides 42965 without a remainder.

1, 5, 13, 65, 661, 3305, 8593

Step-4: Factors of 42970

List of positive integer factors of 42970 that divides 42965 without a remainder.

1, 2, 5, 10, 4297, 8594, 21485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42965 and 42970. The biggest common factor number is the GCF number.
So the greatest common factor 42965 and 42970 is 5.

Also check out the Least Common Multiple of 42965 and 42970