What is the Greatest Common Factor of 80080 and 80094?

Greatest common factor (GCF) of 80080 and 80094 is 14.

GCF(80080,80094) = 14

We will now calculate the prime factors of 80080 and 80094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80080 and 80094.

How to find the GCF of 80080 and 80094?

We will first find the prime factorization of 80080 and 80094. After we will calculate the factors of 80080 and 80094 and find the biggest common factor number .

Step-1: Prime Factorization of 80080

Prime factors of 80080 are 2, 5, 7, 11, 13. Prime factorization of 80080 in exponential form is:

80080 = 2⁴ × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 80094

Prime factors of 80094 are 2, 3, 7, 1907. Prime factorization of 80094 in exponential form is:

80094 = 2¹ × 3¹ × 7¹ × 1907¹

Step-3: Factors of 80080

List of positive integer factors of 80080 that divides 80080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 80, 88, 91, 104, 110, 112, 130, 140, 143, 154, 176, 182, 208, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 560, 572, 616, 715, 728, 770, 880, 910, 1001, 1040, 1144, 1232, 1430, 1456, 1540, 1820, 2002, 2288, 2860, 3080, 3640, 4004, 5005, 5720, 6160, 7280, 8008, 10010, 11440, 16016, 20020, 40040

Step-4: Factors of 80094

List of positive integer factors of 80094 that divides 80080 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1907, 3814, 5721, 11442, 13349, 26698, 40047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80080 and 80094. The biggest common factor number is the GCF number.
So the greatest common factor 80080 and 80094 is 14.

Also check out the Least Common Multiple of 80080 and 80094