What is the Greatest Common Factor of 98952 and 98971?

Greatest common factor (GCF) of 98952 and 98971 is 19.

GCF(98952,98971) = 19

We will now calculate the prime factors of 98952 and 98971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98952 and 98971.

How to find the GCF of 98952 and 98971?

We will first find the prime factorization of 98952 and 98971. After we will calculate the factors of 98952 and 98971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98971

Prime factors of 98971 are 19, 5209. Prime factorization of 98971 in exponential form is:

98971 = 19¹ × 5209¹

Step-3: Factors of 98952

List of positive integer factors of 98952 that divides 98952 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

Step-4: Factors of 98971

List of positive integer factors of 98971 that divides 98952 without a remainder.

1, 19, 5209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98952 and 98971. The biggest common factor number is the GCF number.
So the greatest common factor 98952 and 98971 is 19.

Also check out the Least Common Multiple of 98952 and 98971