What is the Greatest Common Factor of 77414 and 77428?

Greatest common factor (GCF) of 77414 and 77428 is 2.

GCF(77414,77428) = 2

We will now calculate the prime factors of 77414 and 77428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77414 and 77428.

How to find the GCF of 77414 and 77428?

We will first find the prime factorization of 77414 and 77428. After we will calculate the factors of 77414 and 77428 and find the biggest common factor number .

Step-1: Prime Factorization of 77414

Prime factors of 77414 are 2, 38707. Prime factorization of 77414 in exponential form is:

77414 = 2¹ × 38707¹

Step-2: Prime Factorization of 77428

Prime factors of 77428 are 2, 13, 1489. Prime factorization of 77428 in exponential form is:

77428 = 2² × 13¹ × 1489¹

Step-3: Factors of 77414

List of positive integer factors of 77414 that divides 77414 without a remainder.

1, 2, 38707

Step-4: Factors of 77428

List of positive integer factors of 77428 that divides 77414 without a remainder.

1, 2, 4, 13, 26, 52, 1489, 2978, 5956, 19357, 38714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77414 and 77428. The biggest common factor number is the GCF number.
So the greatest common factor 77414 and 77428 is 2.

Also check out the Least Common Multiple of 77414 and 77428