What is the Greatest Common Factor of 77098 and 77103?

Greatest common factor (GCF) of 77098 and 77103 is 1.

GCF(77098,77103) = 1

We will now calculate the prime factors of 77098 and 77103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77098 and 77103.

How to find the GCF of 77098 and 77103?

We will first find the prime factorization of 77098 and 77103. After we will calculate the factors of 77098 and 77103 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 77103

Prime factors of 77103 are 3, 13, 659. Prime factorization of 77103 in exponential form is:

77103 = 3² × 13¹ × 659¹

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 77103

List of positive integer factors of 77103 that divides 77098 without a remainder.

1, 3, 9, 13, 39, 117, 659, 1977, 5931, 8567, 25701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77098 and 77103. The biggest common factor number is the GCF number.
So the greatest common factor 77098 and 77103 is 1.

Also check out the Least Common Multiple of 77098 and 77103