What is the Greatest Common Factor of 82488 and 82502?

Greatest common factor (GCF) of 82488 and 82502 is 14.

GCF(82488,82502) = 14

We will now calculate the prime factors of 82488 and 82502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82488 and 82502.

How to find the GCF of 82488 and 82502?

We will first find the prime factorization of 82488 and 82502. After we will calculate the factors of 82488 and 82502 and find the biggest common factor number .

Step-1: Prime Factorization of 82488

Prime factors of 82488 are 2, 3, 7, 491. Prime factorization of 82488 in exponential form is:

82488 = 2³ × 3¹ × 7¹ × 491¹

Step-2: Prime Factorization of 82502

Prime factors of 82502 are 2, 7, 71, 83. Prime factorization of 82502 in exponential form is:

82502 = 2¹ × 7¹ × 71¹ × 83¹

Step-3: Factors of 82488

List of positive integer factors of 82488 that divides 82488 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 491, 982, 1473, 1964, 2946, 3437, 3928, 5892, 6874, 10311, 11784, 13748, 20622, 27496, 41244

Step-4: Factors of 82502

List of positive integer factors of 82502 that divides 82488 without a remainder.

1, 2, 7, 14, 71, 83, 142, 166, 497, 581, 994, 1162, 5893, 11786, 41251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82488 and 82502. The biggest common factor number is the GCF number.
So the greatest common factor 82488 and 82502 is 14.

Also check out the Least Common Multiple of 82488 and 82502