What is the Greatest Common Factor of 98761 and 98769?

Greatest common factor (GCF) of 98761 and 98769 is 1.

GCF(98761,98769) = 1

We will now calculate the prime factors of 98761 and 98769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98761 and 98769.

How to find the GCF of 98761 and 98769?

We will first find the prime factorization of 98761 and 98769. After we will calculate the factors of 98761 and 98769 and find the biggest common factor number .

Step-1: Prime Factorization of 98761

Prime factors of 98761 are 13, 71, 107. Prime factorization of 98761 in exponential form is:

98761 = 13¹ × 71¹ × 107¹

Step-2: Prime Factorization of 98769

Prime factors of 98769 are 3, 11, 41, 73. Prime factorization of 98769 in exponential form is:

98769 = 3¹ × 11¹ × 41¹ × 73¹

Step-3: Factors of 98761

List of positive integer factors of 98761 that divides 98761 without a remainder.

1, 13, 71, 107, 923, 1391, 7597

Step-4: Factors of 98769

List of positive integer factors of 98769 that divides 98761 without a remainder.

1, 3, 11, 33, 41, 73, 123, 219, 451, 803, 1353, 2409, 2993, 8979, 32923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98761 and 98769. The biggest common factor number is the GCF number.
So the greatest common factor 98761 and 98769 is 1.

Also check out the Least Common Multiple of 98761 and 98769