What is the Greatest Common Factor of 80080 and 80098?

Greatest common factor (GCF) of 80080 and 80098 is 2.

GCF(80080,80098) = 2

We will now calculate the prime factors of 80080 and 80098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80080 and 80098.

How to find the GCF of 80080 and 80098?

We will first find the prime factorization of 80080 and 80098. After we will calculate the factors of 80080 and 80098 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 80098

Prime factors of 80098 are 2, 29, 1381. Prime factorization of 80098 in exponential form is:

80098 = 2¹ × 29¹ × 1381¹

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 80098

List of positive integer factors of 80098 that divides 80080 without a remainder.

1, 2, 29, 58, 1381, 2762, 40049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80080 and 80098. The biggest common factor number is the GCF number.
So the greatest common factor 80080 and 80098 is 2.

Also check out the Least Common Multiple of 80080 and 80098