What is the Greatest Common Factor of 77408 and 77418?

Greatest common factor (GCF) of 77408 and 77418 is 2.

GCF(77408,77418) = 2

We will now calculate the prime factors of 77408 and 77418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77408 and 77418.

How to find the GCF of 77408 and 77418?

We will first find the prime factorization of 77408 and 77418. After we will calculate the factors of 77408 and 77418 and find the biggest common factor number .

Step-1: Prime Factorization of 77408

Prime factors of 77408 are 2, 41, 59. Prime factorization of 77408 in exponential form is:

77408 = 2⁵ × 41¹ × 59¹

Step-2: 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-3: Factors of 77408

List of positive integer factors of 77408 that divides 77408 without a remainder.

1, 2, 4, 8, 16, 32, 41, 59, 82, 118, 164, 236, 328, 472, 656, 944, 1312, 1888, 2419, 4838, 9676, 19352, 38704

Step-4: Factors of 77418

List of positive integer factors of 77418 that divides 77408 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77408 and 77418. The biggest common factor number is the GCF number.
So the greatest common factor 77408 and 77418 is 2.

Also check out the Least Common Multiple of 77408 and 77418