What is the Greatest Common Factor of 98772 and 98792?

Greatest common factor (GCF) of 98772 and 98792 is 4.

GCF(98772,98792) = 4

We will now calculate the prime factors of 98772 and 98792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98772 and 98792.

How to find the GCF of 98772 and 98792?

We will first find the prime factorization of 98772 and 98792. After we will calculate the factors of 98772 and 98792 and find the biggest common factor number .

Step-1: Prime Factorization of 98772

Prime factors of 98772 are 2, 3, 8231. Prime factorization of 98772 in exponential form is:

98772 = 2² × 3¹ × 8231¹

Step-2: Prime Factorization of 98792

Prime factors of 98792 are 2, 53, 233. Prime factorization of 98792 in exponential form is:

98792 = 2³ × 53¹ × 233¹

Step-3: Factors of 98772

List of positive integer factors of 98772 that divides 98772 without a remainder.

1, 2, 3, 4, 6, 12, 8231, 16462, 24693, 32924, 49386

Step-4: Factors of 98792

List of positive integer factors of 98792 that divides 98772 without a remainder.

1, 2, 4, 8, 53, 106, 212, 233, 424, 466, 932, 1864, 12349, 24698, 49396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98772 and 98792. The biggest common factor number is the GCF number.
So the greatest common factor 98772 and 98792 is 4.

Also check out the Least Common Multiple of 98772 and 98792