What is the Greatest Common Factor of 59520 and 59530?

Greatest common factor (GCF) of 59520 and 59530 is 10.

GCF(59520,59530) = 10

We will now calculate the prime factors of 59520 and 59530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59520 and 59530.

How to find the GCF of 59520 and 59530?

We will first find the prime factorization of 59520 and 59530. After we will calculate the factors of 59520 and 59530 and find the biggest common factor number .

Step-1: Prime Factorization of 59520

Prime factors of 59520 are 2, 3, 5, 31. Prime factorization of 59520 in exponential form is:

59520 = 2⁷ × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 59530

Prime factors of 59530 are 2, 5, 5953. Prime factorization of 59530 in exponential form is:

59530 = 2¹ × 5¹ × 5953¹

Step-3: Factors of 59520

List of positive integer factors of 59520 that divides 59520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32, 40, 48, 60, 62, 64, 80, 93, 96, 120, 124, 128, 155, 160, 186, 192, 240, 248, 310, 320, 372, 384, 465, 480, 496, 620, 640, 744, 930, 960, 992, 1240, 1488, 1860, 1920, 1984, 2480, 2976, 3720, 3968, 4960, 5952, 7440, 9920, 11904, 14880, 19840, 29760

Step-4: Factors of 59530

List of positive integer factors of 59530 that divides 59520 without a remainder.

1, 2, 5, 10, 5953, 11906, 29765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59520 and 59530. The biggest common factor number is the GCF number.
So the greatest common factor 59520 and 59530 is 10.

Also check out the Least Common Multiple of 59520 and 59530