What is the Greatest Common Factor of 85410 and 85429?

Greatest common factor (GCF) of 85410 and 85429 is 1.

GCF(85410,85429) = 1

We will now calculate the prime factors of 85410 and 85429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85410 and 85429.

How to find the GCF of 85410 and 85429?

We will first find the prime factorization of 85410 and 85429. After we will calculate the factors of 85410 and 85429 and find the biggest common factor number .

Step-1: Prime Factorization of 85410

Prime factors of 85410 are 2, 3, 5, 13, 73. Prime factorization of 85410 in exponential form is:

85410 = 2¹ × 3² × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 85429

Prime factors of 85429 are 85429. Prime factorization of 85429 in exponential form is:

85429 = 85429¹

Step-3: Factors of 85410

List of positive integer factors of 85410 that divides 85410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 73, 78, 90, 117, 130, 146, 195, 219, 234, 365, 390, 438, 585, 657, 730, 949, 1095, 1170, 1314, 1898, 2190, 2847, 3285, 4745, 5694, 6570, 8541, 9490, 14235, 17082, 28470, 42705

Step-4: Factors of 85429

List of positive integer factors of 85429 that divides 85410 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85410 and 85429. The biggest common factor number is the GCF number.
So the greatest common factor 85410 and 85429 is 1.

Also check out the Least Common Multiple of 85410 and 85429