What is the Greatest Common Factor of 98420 and 98432?

Greatest common factor (GCF) of 98420 and 98432 is 4.

GCF(98420,98432) = 4

We will now calculate the prime factors of 98420 and 98432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98420 and 98432.

How to find the GCF of 98420 and 98432?

We will first find the prime factorization of 98420 and 98432. After we will calculate the factors of 98420 and 98432 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98432

Prime factors of 98432 are 2, 769. Prime factorization of 98432 in exponential form is:

98432 = 2⁷ × 769¹

Step-3: Factors of 98420

List of positive integer factors of 98420 that divides 98420 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

Step-4: Factors of 98432

List of positive integer factors of 98432 that divides 98420 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 769, 1538, 3076, 6152, 12304, 24608, 49216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98420 and 98432. The biggest common factor number is the GCF number.
So the greatest common factor 98420 and 98432 is 4.

Also check out the Least Common Multiple of 98420 and 98432