What is the Greatest Common Factor of 82472 and 82480?

Greatest common factor (GCF) of 82472 and 82480 is 8.

GCF(82472,82480) = 8

We will now calculate the prime factors of 82472 and 82480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82472 and 82480.

How to find the GCF of 82472 and 82480?

We will first find the prime factorization of 82472 and 82480. After we will calculate the factors of 82472 and 82480 and find the biggest common factor number .

Step-1: Prime Factorization of 82472

Prime factors of 82472 are 2, 13, 61. Prime factorization of 82472 in exponential form is:

82472 = 2³ × 13² × 61¹

Step-2: Prime Factorization of 82480

Prime factors of 82480 are 2, 5, 1031. Prime factorization of 82480 in exponential form is:

82480 = 2⁴ × 5¹ × 1031¹

Step-3: Factors of 82472

List of positive integer factors of 82472 that divides 82472 without a remainder.

1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 169, 244, 338, 488, 676, 793, 1352, 1586, 3172, 6344, 10309, 20618, 41236

Step-4: Factors of 82480

List of positive integer factors of 82480 that divides 82472 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1031, 2062, 4124, 5155, 8248, 10310, 16496, 20620, 41240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82472 and 82480. The biggest common factor number is the GCF number.
So the greatest common factor 82472 and 82480 is 8.

Also check out the Least Common Multiple of 82472 and 82480