What is the Greatest Common Factor of 77360 and 77374?

Greatest common factor (GCF) of 77360 and 77374 is 2.

GCF(77360,77374) = 2

We will now calculate the prime factors of 77360 and 77374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77360 and 77374.

How to find the GCF of 77360 and 77374?

We will first find the prime factorization of 77360 and 77374. After we will calculate the factors of 77360 and 77374 and find the biggest common factor number .

Step-1: Prime Factorization of 77360

Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:

77360 = 2⁴ × 5¹ × 967¹

Step-2: Prime Factorization of 77374

Prime factors of 77374 are 2, 11, 3517. Prime factorization of 77374 in exponential form is:

77374 = 2¹ × 11¹ × 3517¹

Step-3: Factors of 77360

List of positive integer factors of 77360 that divides 77360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 38680

Step-4: Factors of 77374

List of positive integer factors of 77374 that divides 77360 without a remainder.

1, 2, 11, 22, 3517, 7034, 38687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77360 and 77374. The biggest common factor number is the GCF number.
So the greatest common factor 77360 and 77374 is 2.

Also check out the Least Common Multiple of 77360 and 77374