What is the Greatest Common Factor of 59520 and 59525?

Greatest common factor (GCF) of 59520 and 59525 is 5.

GCF(59520,59525) = 5

We will now calculate the prime factors of 59520 and 59525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59520 and 59525.

How to find the GCF of 59520 and 59525?

We will first find the prime factorization of 59520 and 59525. After we will calculate the factors of 59520 and 59525 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 59525

Prime factors of 59525 are 5, 2381. Prime factorization of 59525 in exponential form is:

59525 = 5² × 2381¹

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 59525

List of positive integer factors of 59525 that divides 59520 without a remainder.

1, 5, 25, 2381, 11905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59520 and 59525. The biggest common factor number is the GCF number.
So the greatest common factor 59520 and 59525 is 5.

Also check out the Least Common Multiple of 59520 and 59525