What is the Greatest Common Factor of 70416 and 70435?

Greatest common factor (GCF) of 70416 and 70435 is 1.

GCF(70416,70435) = 1

We will now calculate the prime factors of 70416 and 70435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70416 and 70435.

How to find the GCF of 70416 and 70435?

We will first find the prime factorization of 70416 and 70435. After we will calculate the factors of 70416 and 70435 and find the biggest common factor number .

Step-1: Prime Factorization of 70416

Prime factors of 70416 are 2, 3, 163. Prime factorization of 70416 in exponential form is:

70416 = 2⁴ × 3³ × 163¹

Step-2: Prime Factorization of 70435

Prime factors of 70435 are 5, 14087. Prime factorization of 70435 in exponential form is:

70435 = 5¹ × 14087¹

Step-3: Factors of 70416

List of positive integer factors of 70416 that divides 70416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 163, 216, 326, 432, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 4401, 5868, 7824, 8802, 11736, 17604, 23472, 35208

Step-4: Factors of 70435

List of positive integer factors of 70435 that divides 70416 without a remainder.

1, 5, 14087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70416 and 70435. The biggest common factor number is the GCF number.
So the greatest common factor 70416 and 70435 is 1.

Also check out the Least Common Multiple of 70416 and 70435