What is the Greatest Common Factor of 98745 and 98761?

Greatest common factor (GCF) of 98745 and 98761 is 1.

GCF(98745,98761) = 1

We will now calculate the prime factors of 98745 and 98761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98745 and 98761.

How to find the GCF of 98745 and 98761?

We will first find the prime factorization of 98745 and 98761. After we will calculate the factors of 98745 and 98761 and find the biggest common factor number .

Step-1: Prime Factorization of 98745

Prime factors of 98745 are 3, 5, 29, 227. Prime factorization of 98745 in exponential form is:

98745 = 3¹ × 5¹ × 29¹ × 227¹

Step-2: 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-3: Factors of 98745

List of positive integer factors of 98745 that divides 98745 without a remainder.

1, 3, 5, 15, 29, 87, 145, 227, 435, 681, 1135, 3405, 6583, 19749, 32915

Step-4: Factors of 98761

List of positive integer factors of 98761 that divides 98745 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98745 and 98761. The biggest common factor number is the GCF number.
So the greatest common factor 98745 and 98761 is 1.

Also check out the Least Common Multiple of 98745 and 98761