What is the Greatest Common Factor of 80509 and 80514?

Greatest common factor (GCF) of 80509 and 80514 is 1.

GCF(80509,80514) = 1

We will now calculate the prime factors of 80509 and 80514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80509 and 80514.

How to find the GCF of 80509 and 80514?

We will first find the prime factorization of 80509 and 80514. After we will calculate the factors of 80509 and 80514 and find the biggest common factor number .

Step-1: Prime Factorization of 80509

Prime factors of 80509 are 11, 13, 563. Prime factorization of 80509 in exponential form is:

80509 = 11¹ × 13¹ × 563¹

Step-2: Prime Factorization of 80514

Prime factors of 80514 are 2, 3, 7, 71. Prime factorization of 80514 in exponential form is:

80514 = 2¹ × 3⁴ × 7¹ × 71¹

Step-3: Factors of 80509

List of positive integer factors of 80509 that divides 80509 without a remainder.

1, 11, 13, 143, 563, 6193, 7319

Step-4: Factors of 80514

List of positive integer factors of 80514 that divides 80509 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 71, 81, 126, 142, 162, 189, 213, 378, 426, 497, 567, 639, 994, 1134, 1278, 1491, 1917, 2982, 3834, 4473, 5751, 8946, 11502, 13419, 26838, 40257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80509 and 80514. The biggest common factor number is the GCF number.
So the greatest common factor 80509 and 80514 is 1.

Also check out the Least Common Multiple of 80509 and 80514