What is the Greatest Common Factor of 59502 and 59520?

Greatest common factor (GCF) of 59502 and 59520 is 6.

GCF(59502,59520) = 6

We will now calculate the prime factors of 59502 and 59520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59502 and 59520.

How to find the GCF of 59502 and 59520?

We will first find the prime factorization of 59502 and 59520. After we will calculate the factors of 59502 and 59520 and find the biggest common factor number .

Step-1: Prime Factorization of 59502

Prime factors of 59502 are 2, 3, 47, 211. Prime factorization of 59502 in exponential form is:

59502 = 2¹ × 3¹ × 47¹ × 211¹

Step-2: 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-3: Factors of 59502

List of positive integer factors of 59502 that divides 59502 without a remainder.

1, 2, 3, 6, 47, 94, 141, 211, 282, 422, 633, 1266, 9917, 19834, 29751

Step-4: Factors of 59520

List of positive integer factors of 59520 that divides 59502 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59502 and 59520. The biggest common factor number is the GCF number.
So the greatest common factor 59502 and 59520 is 6.

Also check out the Least Common Multiple of 59502 and 59520