What is the Greatest Common Factor of 66424 and 66435?

Greatest common factor (GCF) of 66424 and 66435 is 1.

GCF(66424,66435) = 1

We will now calculate the prime factors of 66424 and 66435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66424 and 66435.

How to find the GCF of 66424 and 66435?

We will first find the prime factorization of 66424 and 66435. After we will calculate the factors of 66424 and 66435 and find the biggest common factor number .

Step-1: Prime Factorization of 66424

Prime factors of 66424 are 2, 19, 23. Prime factorization of 66424 in exponential form is:

66424 = 2³ × 19² × 23¹

Step-2: Prime Factorization of 66435

Prime factors of 66435 are 3, 5, 43, 103. Prime factorization of 66435 in exponential form is:

66435 = 3¹ × 5¹ × 43¹ × 103¹

Step-3: Factors of 66424

List of positive integer factors of 66424 that divides 66424 without a remainder.

1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 361, 437, 722, 874, 1444, 1748, 2888, 3496, 8303, 16606, 33212

Step-4: Factors of 66435

List of positive integer factors of 66435 that divides 66424 without a remainder.

1, 3, 5, 15, 43, 103, 129, 215, 309, 515, 645, 1545, 4429, 13287, 22145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66424 and 66435. The biggest common factor number is the GCF number.
So the greatest common factor 66424 and 66435 is 1.

Also check out the Least Common Multiple of 66424 and 66435