What is the Greatest Common Factor of 80069 and 80080?

Greatest common factor (GCF) of 80069 and 80080 is 11.

GCF(80069,80080) = 11

We will now calculate the prime factors of 80069 and 80080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80069 and 80080.

How to find the GCF of 80069 and 80080?

We will first find the prime factorization of 80069 and 80080. After we will calculate the factors of 80069 and 80080 and find the biggest common factor number .

Step-1: Prime Factorization of 80069

Prime factors of 80069 are 11, 29, 251. Prime factorization of 80069 in exponential form is:

80069 = 11¹ × 29¹ × 251¹

Step-2: 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-3: Factors of 80069

List of positive integer factors of 80069 that divides 80069 without a remainder.

1, 11, 29, 251, 319, 2761, 7279

Step-4: Factors of 80080

List of positive integer factors of 80080 that divides 80069 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80069 and 80080. The biggest common factor number is the GCF number.
So the greatest common factor 80069 and 80080 is 11.

Also check out the Least Common Multiple of 80069 and 80080