What is the Greatest Common Factor of 98938 and 98952?

Greatest common factor (GCF) of 98938 and 98952 is 14.

GCF(98938,98952) = 14

We will now calculate the prime factors of 98938 and 98952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98938 and 98952.

How to find the GCF of 98938 and 98952?

We will first find the prime factorization of 98938 and 98952. After we will calculate the factors of 98938 and 98952 and find the biggest common factor number .

Step-1: Prime Factorization of 98938

Prime factors of 98938 are 2, 7, 37, 191. Prime factorization of 98938 in exponential form is:

98938 = 2¹ × 7¹ × 37¹ × 191¹

Step-2: Prime Factorization of 98952

Prime factors of 98952 are 2, 3, 7, 19, 31. Prime factorization of 98952 in exponential form is:

98952 = 2³ × 3¹ × 7¹ × 19¹ × 31¹

Step-3: Factors of 98938

List of positive integer factors of 98938 that divides 98938 without a remainder.

1, 2, 7, 14, 37, 74, 191, 259, 382, 518, 1337, 2674, 7067, 14134, 49469

Step-4: Factors of 98952

List of positive integer factors of 98952 that divides 98938 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 31, 38, 42, 56, 57, 62, 76, 84, 93, 114, 124, 133, 152, 168, 186, 217, 228, 248, 266, 372, 399, 434, 456, 532, 589, 651, 744, 798, 868, 1064, 1178, 1302, 1596, 1736, 1767, 2356, 2604, 3192, 3534, 4123, 4712, 5208, 7068, 8246, 12369, 14136, 16492, 24738, 32984, 49476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98938 and 98952. The biggest common factor number is the GCF number.
So the greatest common factor 98938 and 98952 is 14.

Also check out the Least Common Multiple of 98938 and 98952