What is the Greatest Common Factor of 59870 and 59875?

Greatest common factor (GCF) of 59870 and 59875 is 5.

GCF(59870,59875) = 5

We will now calculate the prime factors of 59870 and 59875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59870 and 59875.

How to find the GCF of 59870 and 59875?

We will first find the prime factorization of 59870 and 59875. After we will calculate the factors of 59870 and 59875 and find the biggest common factor number .

Step-1: Prime Factorization of 59870

Prime factors of 59870 are 2, 5, 5987. Prime factorization of 59870 in exponential form is:

59870 = 2¹ × 5¹ × 5987¹

Step-2: Prime Factorization of 59875

Prime factors of 59875 are 5, 479. Prime factorization of 59875 in exponential form is:

59875 = 5³ × 479¹

Step-3: Factors of 59870

List of positive integer factors of 59870 that divides 59870 without a remainder.

1, 2, 5, 10, 5987, 11974, 29935

Step-4: Factors of 59875

List of positive integer factors of 59875 that divides 59870 without a remainder.

1, 5, 25, 125, 479, 2395, 11975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59870 and 59875. The biggest common factor number is the GCF number.
So the greatest common factor 59870 and 59875 is 5.

Also check out the Least Common Multiple of 59870 and 59875