What is the Greatest Common Factor of 98042 and 98056?

Greatest common factor (GCF) of 98042 and 98056 is 14.

GCF(98042,98056) = 14

We will now calculate the prime factors of 98042 and 98056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98042 and 98056.

How to find the GCF of 98042 and 98056?

We will first find the prime factorization of 98042 and 98056. After we will calculate the factors of 98042 and 98056 and find the biggest common factor number .

Step-1: Prime Factorization of 98042

Prime factors of 98042 are 2, 7, 47, 149. Prime factorization of 98042 in exponential form is:

98042 = 2¹ × 7¹ × 47¹ × 149¹

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 98042

List of positive integer factors of 98042 that divides 98042 without a remainder.

1, 2, 7, 14, 47, 94, 149, 298, 329, 658, 1043, 2086, 7003, 14006, 49021

Step-4: Factors of 98056

List of positive integer factors of 98056 that divides 98042 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 98042 and 98056. The biggest common factor number is the GCF number.
So the greatest common factor 98042 and 98056 is 14.

Also check out the Least Common Multiple of 98042 and 98056