What is the Greatest Common Factor of 52080 and 52095?

Greatest common factor (GCF) of 52080 and 52095 is 15.

GCF(52080,52095) = 15

We will now calculate the prime factors of 52080 and 52095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52080 and 52095.

How to find the GCF of 52080 and 52095?

We will first find the prime factorization of 52080 and 52095. After we will calculate the factors of 52080 and 52095 and find the biggest common factor number .

Step-1: Prime Factorization of 52080

Prime factors of 52080 are 2, 3, 5, 7, 31. Prime factorization of 52080 in exponential form is:

52080 = 2⁴ × 3¹ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 52095

Prime factors of 52095 are 3, 5, 23, 151. Prime factorization of 52095 in exponential form is:

52095 = 3¹ × 5¹ × 23¹ × 151¹

Step-3: Factors of 52080

List of positive integer factors of 52080 that divides 52080 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 31, 35, 40, 42, 48, 56, 60, 62, 70, 80, 84, 93, 105, 112, 120, 124, 140, 155, 168, 186, 210, 217, 240, 248, 280, 310, 336, 372, 420, 434, 465, 496, 560, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1488, 1680, 1736, 1860, 2170, 2480, 2604, 3255, 3472, 3720, 4340, 5208, 6510, 7440, 8680, 10416, 13020, 17360, 26040

Step-4: Factors of 52095

List of positive integer factors of 52095 that divides 52080 without a remainder.

1, 3, 5, 15, 23, 69, 115, 151, 345, 453, 755, 2265, 3473, 10419, 17365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52080 and 52095. The biggest common factor number is the GCF number.
So the greatest common factor 52080 and 52095 is 15.

Also check out the Least Common Multiple of 52080 and 52095