What is the Greatest Common Factor of 98052 and 98056?

Greatest common factor (GCF) of 98052 and 98056 is 4.

GCF(98052,98056) = 4

We will now calculate the prime factors of 98052 and 98056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98052 and 98056.

How to find the GCF of 98052 and 98056?

We will first find the prime factorization of 98052 and 98056. After we will calculate the factors of 98052 and 98056 and find the biggest common factor number .

Step-1: Prime Factorization of 98052

Prime factors of 98052 are 2, 3, 8171. Prime factorization of 98052 in exponential form is:

98052 = 2² × 3¹ × 8171¹

Step-2: Prime Factorization of 98056

Prime factors of 98056 are 2, 7, 17, 103. Prime factorization of 98056 in exponential form is:

98056 = 2³ × 7¹ × 17¹ × 103¹

Step-3: Factors of 98052

List of positive integer factors of 98052 that divides 98052 without a remainder.

1, 2, 3, 4, 6, 12, 8171, 16342, 24513, 32684, 49026

Step-4: Factors of 98056

List of positive integer factors of 98056 that divides 98052 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 103, 119, 136, 206, 238, 412, 476, 721, 824, 952, 1442, 1751, 2884, 3502, 5768, 7004, 12257, 14008, 24514, 49028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98052 and 98056. The biggest common factor number is the GCF number.
So the greatest common factor 98052 and 98056 is 4.

Also check out the Least Common Multiple of 98052 and 98056