What is the Greatest Common Factor of 98416 and 98420?

Greatest common factor (GCF) of 98416 and 98420 is 4.

GCF(98416,98420) = 4

We will now calculate the prime factors of 98416 and 98420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98416 and 98420.

How to find the GCF of 98416 and 98420?

We will first find the prime factorization of 98416 and 98420. After we will calculate the factors of 98416 and 98420 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 98420

Prime factors of 98420 are 2, 5, 7, 19, 37. Prime factorization of 98420 in exponential form is:

98420 = 2² × 5¹ × 7¹ × 19¹ × 37¹

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 98420

List of positive integer factors of 98420 that divides 98416 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 37, 38, 70, 74, 76, 95, 133, 140, 148, 185, 190, 259, 266, 370, 380, 518, 532, 665, 703, 740, 1036, 1295, 1330, 1406, 2590, 2660, 2812, 3515, 4921, 5180, 7030, 9842, 14060, 19684, 24605, 49210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98416 and 98420. The biggest common factor number is the GCF number.
So the greatest common factor 98416 and 98420 is 4.

Also check out the Least Common Multiple of 98416 and 98420