What is the Greatest Common Factor of 98952 and 98970?

Greatest common factor (GCF) of 98952 and 98970 is 6.

GCF(98952,98970) = 6

We will now calculate the prime factors of 98952 and 98970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98952 and 98970.

How to find the GCF of 98952 and 98970?

We will first find the prime factorization of 98952 and 98970. After we will calculate the factors of 98952 and 98970 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 98970

Prime factors of 98970 are 2, 3, 5, 3299. Prime factorization of 98970 in exponential form is:

98970 = 2¹ × 3¹ × 5¹ × 3299¹

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 98970

List of positive integer factors of 98970 that divides 98952 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3299, 6598, 9897, 16495, 19794, 32990, 49485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98952 and 98970. The biggest common factor number is the GCF number.
So the greatest common factor 98952 and 98970 is 6.

Also check out the Least Common Multiple of 98952 and 98970