What is the Greatest Common Factor of 98462 and 98474?

Greatest common factor (GCF) of 98462 and 98474 is 2.

GCF(98462,98474) = 2

We will now calculate the prime factors of 98462 and 98474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98462 and 98474.

How to find the GCF of 98462 and 98474?

We will first find the prime factorization of 98462 and 98474. After we will calculate the factors of 98462 and 98474 and find the biggest common factor number .

Step-1: Prime Factorization of 98462

Prime factors of 98462 are 2, 7, 13, 541. Prime factorization of 98462 in exponential form is:

98462 = 2¹ × 7¹ × 13¹ × 541¹

Step-2: Prime Factorization of 98474

Prime factors of 98474 are 2, 53, 929. Prime factorization of 98474 in exponential form is:

98474 = 2¹ × 53¹ × 929¹

Step-3: Factors of 98462

List of positive integer factors of 98462 that divides 98462 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 541, 1082, 3787, 7033, 7574, 14066, 49231

Step-4: Factors of 98474

List of positive integer factors of 98474 that divides 98462 without a remainder.

1, 2, 53, 106, 929, 1858, 49237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98462 and 98474. The biggest common factor number is the GCF number.
So the greatest common factor 98462 and 98474 is 2.

Also check out the Least Common Multiple of 98462 and 98474