What is the Greatest Common Factor of 60945 and 60950?

Greatest common factor (GCF) of 60945 and 60950 is 5.

GCF(60945,60950) = 5

We will now calculate the prime factors of 60945 and 60950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60945 and 60950.

How to find the GCF of 60945 and 60950?

We will first find the prime factorization of 60945 and 60950. After we will calculate the factors of 60945 and 60950 and find the biggest common factor number .

Step-1: Prime Factorization of 60945

Prime factors of 60945 are 3, 5, 17, 239. Prime factorization of 60945 in exponential form is:

60945 = 3¹ × 5¹ × 17¹ × 239¹

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 60945

List of positive integer factors of 60945 that divides 60945 without a remainder.

1, 3, 5, 15, 17, 51, 85, 239, 255, 717, 1195, 3585, 4063, 12189, 20315

Step-4: Factors of 60950

List of positive integer factors of 60950 that divides 60945 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 60945 and 60950. The biggest common factor number is the GCF number.
So the greatest common factor 60945 and 60950 is 5.

Also check out the Least Common Multiple of 60945 and 60950