What is the Greatest Common Factor of 52065 and 52080?

Greatest common factor (GCF) of 52065 and 52080 is 15.

GCF(52065,52080) = 15

We will now calculate the prime factors of 52065 and 52080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52065 and 52080.

How to find the GCF of 52065 and 52080?

We will first find the prime factorization of 52065 and 52080. After we will calculate the factors of 52065 and 52080 and find the biggest common factor number .

Step-1: Prime Factorization of 52065

Prime factors of 52065 are 3, 5, 13, 89. Prime factorization of 52065 in exponential form is:

52065 = 3² × 5¹ × 13¹ × 89¹

Step-2: 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-3: Factors of 52065

List of positive integer factors of 52065 that divides 52065 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 89, 117, 195, 267, 445, 585, 801, 1157, 1335, 3471, 4005, 5785, 10413, 17355

Step-4: Factors of 52080

List of positive integer factors of 52080 that divides 52065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52065 and 52080. The biggest common factor number is the GCF number.
So the greatest common factor 52065 and 52080 is 15.

Also check out the Least Common Multiple of 52065 and 52080