What is the Greatest Common Factor of 60418 and 60435?

Greatest common factor (GCF) of 60418 and 60435 is 17.

GCF(60418,60435) = 17

We will now calculate the prime factors of 60418 and 60435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60418 and 60435.

How to find the GCF of 60418 and 60435?

We will first find the prime factorization of 60418 and 60435. After we will calculate the factors of 60418 and 60435 and find the biggest common factor number .

Step-1: Prime Factorization of 60418

Prime factors of 60418 are 2, 17, 1777. Prime factorization of 60418 in exponential form is:

60418 = 2¹ × 17¹ × 1777¹

Step-2: Prime Factorization of 60435

Prime factors of 60435 are 3, 5, 17, 79. Prime factorization of 60435 in exponential form is:

60435 = 3² × 5¹ × 17¹ × 79¹

Step-3: Factors of 60418

List of positive integer factors of 60418 that divides 60418 without a remainder.

1, 2, 17, 34, 1777, 3554, 30209

Step-4: Factors of 60435

List of positive integer factors of 60435 that divides 60418 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 79, 85, 153, 237, 255, 395, 711, 765, 1185, 1343, 3555, 4029, 6715, 12087, 20145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60418 and 60435. The biggest common factor number is the GCF number.
So the greatest common factor 60418 and 60435 is 17.

Also check out the Least Common Multiple of 60418 and 60435