What is the Greatest Common Factor of 98416 and 98436?

Greatest common factor (GCF) of 98416 and 98436 is 4.

GCF(98416,98436) = 4

We will now calculate the prime factors of 98416 and 98436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98416 and 98436.

How to find the GCF of 98416 and 98436?

We will first find the prime factorization of 98416 and 98436. After we will calculate the factors of 98416 and 98436 and find the biggest common factor number .

Step-1: Prime Factorization of 98416

Prime factors of 98416 are 2, 6151. Prime factorization of 98416 in exponential form is:

98416 = 2⁴ × 6151¹

Step-2: Prime Factorization of 98436

Prime factors of 98436 are 2, 3, 13, 631. Prime factorization of 98436 in exponential form is:

98436 = 2² × 3¹ × 13¹ × 631¹

Step-3: Factors of 98416

List of positive integer factors of 98416 that divides 98416 without a remainder.

1, 2, 4, 8, 16, 6151, 12302, 24604, 49208

Step-4: Factors of 98436

List of positive integer factors of 98436 that divides 98416 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 631, 1262, 1893, 2524, 3786, 7572, 8203, 16406, 24609, 32812, 49218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98416 and 98436. The biggest common factor number is the GCF number.
So the greatest common factor 98416 and 98436 is 4.

Also check out the Least Common Multiple of 98416 and 98436