What is the Greatest Common Factor of 77396 and 77410?

Greatest common factor (GCF) of 77396 and 77410 is 2.

GCF(77396,77410) = 2

We will now calculate the prime factors of 77396 and 77410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77396 and 77410.

How to find the GCF of 77396 and 77410?

We will first find the prime factorization of 77396 and 77410. After we will calculate the factors of 77396 and 77410 and find the biggest common factor number .

Step-1: Prime Factorization of 77396

Prime factors of 77396 are 2, 11, 1759. Prime factorization of 77396 in exponential form is:

77396 = 2² × 11¹ × 1759¹

Step-2: Prime Factorization of 77410

Prime factors of 77410 are 2, 5, 7741. Prime factorization of 77410 in exponential form is:

77410 = 2¹ × 5¹ × 7741¹

Step-3: Factors of 77396

List of positive integer factors of 77396 that divides 77396 without a remainder.

1, 2, 4, 11, 22, 44, 1759, 3518, 7036, 19349, 38698

Step-4: Factors of 77410

List of positive integer factors of 77410 that divides 77396 without a remainder.

1, 2, 5, 10, 7741, 15482, 38705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77396 and 77410. The biggest common factor number is the GCF number.
So the greatest common factor 77396 and 77410 is 2.

Also check out the Least Common Multiple of 77396 and 77410