What is the Greatest Common Factor of 98624 and 98634?

Greatest common factor (GCF) of 98624 and 98634 is 2.

GCF(98624,98634) = 2

We will now calculate the prime factors of 98624 and 98634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98624 and 98634.

How to find the GCF of 98624 and 98634?

We will first find the prime factorization of 98624 and 98634. After we will calculate the factors of 98624 and 98634 and find the biggest common factor number .

Step-1: Prime Factorization of 98624

Prime factors of 98624 are 2, 23, 67. Prime factorization of 98624 in exponential form is:

98624 = 2⁶ × 23¹ × 67¹

Step-2: Prime Factorization of 98634

Prime factors of 98634 are 2, 3, 17, 967. Prime factorization of 98634 in exponential form is:

98634 = 2¹ × 3¹ × 17¹ × 967¹

Step-3: Factors of 98624

List of positive integer factors of 98624 that divides 98624 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 67, 92, 134, 184, 268, 368, 536, 736, 1072, 1472, 1541, 2144, 3082, 4288, 6164, 12328, 24656, 49312

Step-4: Factors of 98634

List of positive integer factors of 98634 that divides 98624 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 967, 1934, 2901, 5802, 16439, 32878, 49317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98624 and 98634. The biggest common factor number is the GCF number.
So the greatest common factor 98624 and 98634 is 2.

Also check out the Least Common Multiple of 98624 and 98634