What is the Greatest Common Factor of 77418 and 77435?

Greatest common factor (GCF) of 77418 and 77435 is 17.

GCF(77418,77435) = 17

We will now calculate the prime factors of 77418 and 77435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77418 and 77435.

How to find the GCF of 77418 and 77435?

We will first find the prime factorization of 77418 and 77435. After we will calculate the factors of 77418 and 77435 and find the biggest common factor number .

Step-1: Prime Factorization of 77418

Prime factors of 77418 are 2, 3, 11, 17, 23. Prime factorization of 77418 in exponential form is:

77418 = 2¹ × 3² × 11¹ × 17¹ × 23¹

Step-2: Prime Factorization of 77435

Prime factors of 77435 are 5, 17, 911. Prime factorization of 77435 in exponential form is:

77435 = 5¹ × 17¹ × 911¹

Step-3: Factors of 77418

List of positive integer factors of 77418 that divides 77418 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 23, 33, 34, 46, 51, 66, 69, 99, 102, 138, 153, 187, 198, 207, 253, 306, 374, 391, 414, 506, 561, 759, 782, 1122, 1173, 1518, 1683, 2277, 2346, 3366, 3519, 4301, 4554, 7038, 8602, 12903, 25806, 38709

Step-4: Factors of 77435

List of positive integer factors of 77435 that divides 77418 without a remainder.

1, 5, 17, 85, 911, 4555, 15487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77418 and 77435. The biggest common factor number is the GCF number.
So the greatest common factor 77418 and 77435 is 17.

Also check out the Least Common Multiple of 77418 and 77435