What is the Greatest Common Factor of 77540 and 77554?

Greatest common factor (GCF) of 77540 and 77554 is 2.

GCF(77540,77554) = 2

We will now calculate the prime factors of 77540 and 77554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77540 and 77554.

How to find the GCF of 77540 and 77554?

We will first find the prime factorization of 77540 and 77554. After we will calculate the factors of 77540 and 77554 and find the biggest common factor number .

Step-1: Prime Factorization of 77540

Prime factors of 77540 are 2, 5, 3877. Prime factorization of 77540 in exponential form is:

77540 = 2² × 5¹ × 3877¹

Step-2: Prime Factorization of 77554

Prime factors of 77554 are 2, 17, 2281. Prime factorization of 77554 in exponential form is:

77554 = 2¹ × 17¹ × 2281¹

Step-3: Factors of 77540

List of positive integer factors of 77540 that divides 77540 without a remainder.

1, 2, 4, 5, 10, 20, 3877, 7754, 15508, 19385, 38770

Step-4: Factors of 77554

List of positive integer factors of 77554 that divides 77540 without a remainder.

1, 2, 17, 34, 2281, 4562, 38777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77540 and 77554. The biggest common factor number is the GCF number.
So the greatest common factor 77540 and 77554 is 2.

Also check out the Least Common Multiple of 77540 and 77554