What is the Greatest Common Factor of 98742 and 98749?

Greatest common factor (GCF) of 98742 and 98749 is 7.

GCF(98742,98749) = 7

We will now calculate the prime factors of 98742 and 98749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98742 and 98749.

How to find the GCF of 98742 and 98749?

We will first find the prime factorization of 98742 and 98749. After we will calculate the factors of 98742 and 98749 and find the biggest common factor number .

Step-1: Prime Factorization of 98742

Prime factors of 98742 are 2, 3, 7, 2351. Prime factorization of 98742 in exponential form is:

98742 = 2¹ × 3¹ × 7¹ × 2351¹

Step-2: Prime Factorization of 98749

Prime factors of 98749 are 7, 14107. Prime factorization of 98749 in exponential form is:

98749 = 7¹ × 14107¹

Step-3: Factors of 98742

List of positive integer factors of 98742 that divides 98742 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2351, 4702, 7053, 14106, 16457, 32914, 49371

Step-4: Factors of 98749

List of positive integer factors of 98749 that divides 98742 without a remainder.

1, 7, 14107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98742 and 98749. The biggest common factor number is the GCF number.
So the greatest common factor 98742 and 98749 is 7.

Also check out the Least Common Multiple of 98742 and 98749