What is the Greatest Common Factor of 77098 and 77108?

Greatest common factor (GCF) of 77098 and 77108 is 2.

GCF(77098,77108) = 2

We will now calculate the prime factors of 77098 and 77108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77098 and 77108.

How to find the GCF of 77098 and 77108?

We will first find the prime factorization of 77098 and 77108. After we will calculate the factors of 77098 and 77108 and find the biggest common factor number .

Step-1: Prime Factorization of 77098

Prime factors of 77098 are 2, 7, 5507. Prime factorization of 77098 in exponential form is:

77098 = 2¹ × 7¹ × 5507¹

Step-2: Prime Factorization of 77108

Prime factors of 77108 are 2, 37, 521. Prime factorization of 77108 in exponential form is:

77108 = 2² × 37¹ × 521¹

Step-3: Factors of 77098

List of positive integer factors of 77098 that divides 77098 without a remainder.

1, 2, 7, 14, 5507, 11014, 38549

Step-4: Factors of 77108

List of positive integer factors of 77108 that divides 77098 without a remainder.

1, 2, 4, 37, 74, 148, 521, 1042, 2084, 19277, 38554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77098 and 77108. The biggest common factor number is the GCF number.
So the greatest common factor 77098 and 77108 is 2.

Also check out the Least Common Multiple of 77098 and 77108