What is the Greatest Common Factor of 60935 and 60950?

Greatest common factor (GCF) of 60935 and 60950 is 5.

GCF(60935,60950) = 5

We will now calculate the prime factors of 60935 and 60950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60935 and 60950.

How to find the GCF of 60935 and 60950?

We will first find the prime factorization of 60935 and 60950. After we will calculate the factors of 60935 and 60950 and find the biggest common factor number .

Step-1: Prime Factorization of 60935

Prime factors of 60935 are 5, 7, 1741. Prime factorization of 60935 in exponential form is:

60935 = 5¹ × 7¹ × 1741¹

Step-2: Prime Factorization of 60950

Prime factors of 60950 are 2, 5, 23, 53. Prime factorization of 60950 in exponential form is:

60950 = 2¹ × 5² × 23¹ × 53¹

Step-3: Factors of 60935

List of positive integer factors of 60935 that divides 60935 without a remainder.

1, 5, 7, 35, 1741, 8705, 12187

Step-4: Factors of 60950

List of positive integer factors of 60950 that divides 60935 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 53, 106, 115, 230, 265, 530, 575, 1150, 1219, 1325, 2438, 2650, 6095, 12190, 30475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60935 and 60950. The biggest common factor number is the GCF number.
So the greatest common factor 60935 and 60950 is 5.

Also check out the Least Common Multiple of 60935 and 60950