What is the Greatest Common Factor of 98644 and 98658?

Greatest common factor (GCF) of 98644 and 98658 is 14.

GCF(98644,98658) = 14

We will now calculate the prime factors of 98644 and 98658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98644 and 98658.

How to find the GCF of 98644 and 98658?

We will first find the prime factorization of 98644 and 98658. After we will calculate the factors of 98644 and 98658 and find the biggest common factor number .

Step-1: Prime Factorization of 98644

Prime factors of 98644 are 2, 7, 13, 271. Prime factorization of 98644 in exponential form is:

98644 = 2² × 7¹ × 13¹ × 271¹

Step-2: Prime Factorization of 98658

Prime factors of 98658 are 2, 3, 7, 29. Prime factorization of 98658 in exponential form is:

98658 = 2¹ × 3⁵ × 7¹ × 29¹

Step-3: Factors of 98644

List of positive integer factors of 98644 that divides 98644 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 271, 364, 542, 1084, 1897, 3523, 3794, 7046, 7588, 14092, 24661, 49322

Step-4: Factors of 98658

List of positive integer factors of 98658 that divides 98644 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 81, 87, 126, 162, 174, 189, 203, 243, 261, 378, 406, 486, 522, 567, 609, 783, 1134, 1218, 1566, 1701, 1827, 2349, 3402, 3654, 4698, 5481, 7047, 10962, 14094, 16443, 32886, 49329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98644 and 98658. The biggest common factor number is the GCF number.
So the greatest common factor 98644 and 98658 is 14.

Also check out the Least Common Multiple of 98644 and 98658