What is the Greatest Common Factor of 98072 and 98084?

Greatest common factor (GCF) of 98072 and 98084 is 4.

GCF(98072,98084) = 4

We will now calculate the prime factors of 98072 and 98084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98072 and 98084.

How to find the GCF of 98072 and 98084?

We will first find the prime factorization of 98072 and 98084. After we will calculate the factors of 98072 and 98084 and find the biggest common factor number .

Step-1: Prime Factorization of 98072

Prime factors of 98072 are 2, 13, 23, 41. Prime factorization of 98072 in exponential form is:

98072 = 2³ × 13¹ × 23¹ × 41¹

Step-2: Prime Factorization of 98084

Prime factors of 98084 are 2, 7, 31, 113. Prime factorization of 98084 in exponential form is:

98084 = 2² × 7¹ × 31¹ × 113¹

Step-3: Factors of 98072

List of positive integer factors of 98072 that divides 98072 without a remainder.

1, 2, 4, 8, 13, 23, 26, 41, 46, 52, 82, 92, 104, 164, 184, 299, 328, 533, 598, 943, 1066, 1196, 1886, 2132, 2392, 3772, 4264, 7544, 12259, 24518, 49036

Step-4: Factors of 98084

List of positive integer factors of 98084 that divides 98072 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 113, 124, 217, 226, 434, 452, 791, 868, 1582, 3164, 3503, 7006, 14012, 24521, 49042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98072 and 98084. The biggest common factor number is the GCF number.
So the greatest common factor 98072 and 98084 is 4.

Also check out the Least Common Multiple of 98072 and 98084