What is the Greatest Common Factor of 80510 and 80520?

Greatest common factor (GCF) of 80510 and 80520 is 10.

GCF(80510,80520) = 10

We will now calculate the prime factors of 80510 and 80520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80510 and 80520.

How to find the GCF of 80510 and 80520?

We will first find the prime factorization of 80510 and 80520. After we will calculate the factors of 80510 and 80520 and find the biggest common factor number .

Step-1: Prime Factorization of 80510

Prime factors of 80510 are 2, 5, 83, 97. Prime factorization of 80510 in exponential form is:

80510 = 2¹ × 5¹ × 83¹ × 97¹

Step-2: Prime Factorization of 80520

Prime factors of 80520 are 2, 3, 5, 11, 61. Prime factorization of 80520 in exponential form is:

80520 = 2³ × 3¹ × 5¹ × 11¹ × 61¹

Step-3: Factors of 80510

List of positive integer factors of 80510 that divides 80510 without a remainder.

1, 2, 5, 10, 83, 97, 166, 194, 415, 485, 830, 970, 8051, 16102, 40255

Step-4: Factors of 80520

List of positive integer factors of 80520 that divides 80510 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 61, 66, 88, 110, 120, 122, 132, 165, 183, 220, 244, 264, 305, 330, 366, 440, 488, 610, 660, 671, 732, 915, 1220, 1320, 1342, 1464, 1830, 2013, 2440, 2684, 3355, 3660, 4026, 5368, 6710, 7320, 8052, 10065, 13420, 16104, 20130, 26840, 40260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80510 and 80520. The biggest common factor number is the GCF number.
So the greatest common factor 80510 and 80520 is 10.

Also check out the Least Common Multiple of 80510 and 80520