What is the Greatest Common Factor of 59750 and 59765?

Greatest common factor (GCF) of 59750 and 59765 is 5.

GCF(59750,59765) = 5

We will now calculate the prime factors of 59750 and 59765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59750 and 59765.

How to find the GCF of 59750 and 59765?

We will first find the prime factorization of 59750 and 59765. After we will calculate the factors of 59750 and 59765 and find the biggest common factor number .

Step-1: Prime Factorization of 59750

Prime factors of 59750 are 2, 5, 239. Prime factorization of 59750 in exponential form is:

59750 = 2¹ × 5³ × 239¹

Step-2: Prime Factorization of 59765

Prime factors of 59765 are 5, 11953. Prime factorization of 59765 in exponential form is:

59765 = 5¹ × 11953¹

Step-3: Factors of 59750

List of positive integer factors of 59750 that divides 59750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 239, 250, 478, 1195, 2390, 5975, 11950, 29875

Step-4: Factors of 59765

List of positive integer factors of 59765 that divides 59750 without a remainder.

1, 5, 11953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59750 and 59765. The biggest common factor number is the GCF number.
So the greatest common factor 59750 and 59765 is 5.

Also check out the Least Common Multiple of 59750 and 59765