What is the Greatest Common Factor of 87464 and 87482?

Greatest common factor (GCF) of 87464 and 87482 is 2.

GCF(87464,87482) = 2

We will now calculate the prime factors of 87464 and 87482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87464 and 87482.

How to find the GCF of 87464 and 87482?

We will first find the prime factorization of 87464 and 87482. After we will calculate the factors of 87464 and 87482 and find the biggest common factor number .

Step-1: Prime Factorization of 87464

Prime factors of 87464 are 2, 13, 29. Prime factorization of 87464 in exponential form is:

87464 = 2³ × 13¹ × 29²

Step-2: Prime Factorization of 87482

Prime factors of 87482 are 2, 17, 31, 83. Prime factorization of 87482 in exponential form is:

87482 = 2¹ × 17¹ × 31¹ × 83¹

Step-3: Factors of 87464

List of positive integer factors of 87464 that divides 87464 without a remainder.

1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 841, 1508, 1682, 3016, 3364, 6728, 10933, 21866, 43732

Step-4: Factors of 87482

List of positive integer factors of 87482 that divides 87464 without a remainder.

1, 2, 17, 31, 34, 62, 83, 166, 527, 1054, 1411, 2573, 2822, 5146, 43741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87464 and 87482. The biggest common factor number is the GCF number.
So the greatest common factor 87464 and 87482 is 2.

Also check out the Least Common Multiple of 87464 and 87482