What is the Greatest Common Factor of 98420 and 98435?

Greatest common factor (GCF) of 98420 and 98435 is 5.

GCF(98420,98435) = 5

We will now calculate the prime factors of 98420 and 98435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98420 and 98435.

How to find the GCF of 98420 and 98435?

We will first find the prime factorization of 98420 and 98435. After we will calculate the factors of 98420 and 98435 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 98435

Prime factors of 98435 are 5, 19687. Prime factorization of 98435 in exponential form is:

98435 = 5¹ × 19687¹

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 98435

List of positive integer factors of 98435 that divides 98420 without a remainder.

1, 5, 19687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98420 and 98435. The biggest common factor number is the GCF number.
So the greatest common factor 98420 and 98435 is 5.

Also check out the Least Common Multiple of 98420 and 98435