What is the Greatest Common Factor of 60950 and 60960?

Greatest common factor (GCF) of 60950 and 60960 is 10.

GCF(60950,60960) = 10

We will now calculate the prime factors of 60950 and 60960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60950 and 60960.

How to find the GCF of 60950 and 60960?

We will first find the prime factorization of 60950 and 60960. After we will calculate the factors of 60950 and 60960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60960

Prime factors of 60960 are 2, 3, 5, 127. Prime factorization of 60960 in exponential form is:

60960 = 2⁵ × 3¹ × 5¹ × 127¹

Step-3: Factors of 60950

List of positive integer factors of 60950 that divides 60950 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

Step-4: Factors of 60960

List of positive integer factors of 60960 that divides 60950 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 127, 160, 240, 254, 381, 480, 508, 635, 762, 1016, 1270, 1524, 1905, 2032, 2540, 3048, 3810, 4064, 5080, 6096, 7620, 10160, 12192, 15240, 20320, 30480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60950 and 60960. The biggest common factor number is the GCF number.
So the greatest common factor 60950 and 60960 is 10.

Also check out the Least Common Multiple of 60950 and 60960