What is the Greatest Common Factor of 42890 and 42905?

Greatest common factor (GCF) of 42890 and 42905 is 5.

GCF(42890,42905) = 5

We will now calculate the prime factors of 42890 and 42905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42890 and 42905.

How to find the GCF of 42890 and 42905?

We will first find the prime factorization of 42890 and 42905. After we will calculate the factors of 42890 and 42905 and find the biggest common factor number .

Step-1: Prime Factorization of 42890

Prime factors of 42890 are 2, 5, 4289. Prime factorization of 42890 in exponential form is:

42890 = 2¹ × 5¹ × 4289¹

Step-2: Prime Factorization of 42905

Prime factors of 42905 are 5, 8581. Prime factorization of 42905 in exponential form is:

42905 = 5¹ × 8581¹

Step-3: Factors of 42890

List of positive integer factors of 42890 that divides 42890 without a remainder.

1, 2, 5, 10, 4289, 8578, 21445

Step-4: Factors of 42905

List of positive integer factors of 42905 that divides 42890 without a remainder.

1, 5, 8581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42890 and 42905. The biggest common factor number is the GCF number.
So the greatest common factor 42890 and 42905 is 5.

Also check out the Least Common Multiple of 42890 and 42905