What is the Greatest Common Factor of 52080 and 52094?

Greatest common factor (GCF) of 52080 and 52094 is 14.

GCF(52080,52094) = 14

We will now calculate the prime factors of 52080 and 52094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52080 and 52094.

How to find the GCF of 52080 and 52094?

We will first find the prime factorization of 52080 and 52094. After we will calculate the factors of 52080 and 52094 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 52094

Prime factors of 52094 are 2, 7, 61. Prime factorization of 52094 in exponential form is:

52094 = 2¹ × 7¹ × 61²

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 52094

List of positive integer factors of 52094 that divides 52080 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854, 3721, 7442, 26047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52080 and 52094. The biggest common factor number is the GCF number.
So the greatest common factor 52080 and 52094 is 14.

Also check out the Least Common Multiple of 52080 and 52094