What is the Greatest Common Factor of 98762 and 98776?

Greatest common factor (GCF) of 98762 and 98776 is 2.

GCF(98762,98776) = 2

We will now calculate the prime factors of 98762 and 98776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98762 and 98776.

How to find the GCF of 98762 and 98776?

We will first find the prime factorization of 98762 and 98776. After we will calculate the factors of 98762 and 98776 and find the biggest common factor number .

Step-1: Prime Factorization of 98762

Prime factors of 98762 are 2, 19, 23, 113. Prime factorization of 98762 in exponential form is:

98762 = 2¹ × 19¹ × 23¹ × 113¹

Step-2: Prime Factorization of 98776

Prime factors of 98776 are 2, 12347. Prime factorization of 98776 in exponential form is:

98776 = 2³ × 12347¹

Step-3: Factors of 98762

List of positive integer factors of 98762 that divides 98762 without a remainder.

1, 2, 19, 23, 38, 46, 113, 226, 437, 874, 2147, 2599, 4294, 5198, 49381

Step-4: Factors of 98776

List of positive integer factors of 98776 that divides 98762 without a remainder.

1, 2, 4, 8, 12347, 24694, 49388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98762 and 98776. The biggest common factor number is the GCF number.
So the greatest common factor 98762 and 98776 is 2.

Also check out the Least Common Multiple of 98762 and 98776