What is the Greatest Common Factor of 52080 and 52085?

Greatest common factor (GCF) of 52080 and 52085 is 5.

GCF(52080,52085) = 5

We will now calculate the prime factors of 52080 and 52085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52080 and 52085.

How to find the GCF of 52080 and 52085?

We will first find the prime factorization of 52080 and 52085. After we will calculate the factors of 52080 and 52085 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 52085

Prime factors of 52085 are 5, 11, 947. Prime factorization of 52085 in exponential form is:

52085 = 5¹ × 11¹ × 947¹

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 52085

List of positive integer factors of 52085 that divides 52080 without a remainder.

1, 5, 11, 55, 947, 4735, 10417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52080 and 52085. The biggest common factor number is the GCF number.
So the greatest common factor 52080 and 52085 is 5.

Also check out the Least Common Multiple of 52080 and 52085