What is the Greatest Common Factor of 85446 and 85462?

Greatest common factor (GCF) of 85446 and 85462 is 2.

GCF(85446,85462) = 2

We will now calculate the prime factors of 85446 and 85462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85446 and 85462.

How to find the GCF of 85446 and 85462?

We will first find the prime factorization of 85446 and 85462. After we will calculate the factors of 85446 and 85462 and find the biggest common factor number .

Step-1: Prime Factorization of 85446

Prime factors of 85446 are 2, 3, 47, 101. Prime factorization of 85446 in exponential form is:

85446 = 2¹ × 3² × 47¹ × 101¹

Step-2: Prime Factorization of 85462

Prime factors of 85462 are 2, 13, 19, 173. Prime factorization of 85462 in exponential form is:

85462 = 2¹ × 13¹ × 19¹ × 173¹

Step-3: Factors of 85446

List of positive integer factors of 85446 that divides 85446 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 101, 141, 202, 282, 303, 423, 606, 846, 909, 1818, 4747, 9494, 14241, 28482, 42723

Step-4: Factors of 85462

List of positive integer factors of 85462 that divides 85446 without a remainder.

1, 2, 13, 19, 26, 38, 173, 247, 346, 494, 2249, 3287, 4498, 6574, 42731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85446 and 85462. The biggest common factor number is the GCF number.
So the greatest common factor 85446 and 85462 is 2.

Also check out the Least Common Multiple of 85446 and 85462