What is the Greatest Common Factor of 98136 and 98153?

Greatest common factor (GCF) of 98136 and 98153 is 1.

GCF(98136,98153) = 1

We will now calculate the prime factors of 98136 and 98153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98136 and 98153.

How to find the GCF of 98136 and 98153?

We will first find the prime factorization of 98136 and 98153. After we will calculate the factors of 98136 and 98153 and find the biggest common factor number .

Step-1: Prime Factorization of 98136

Prime factors of 98136 are 2, 3, 29, 47. Prime factorization of 98136 in exponential form is:

98136 = 2³ × 3² × 29¹ × 47¹

Step-2: Prime Factorization of 98153

Prime factors of 98153 are 11, 8923. Prime factorization of 98153 in exponential form is:

98153 = 11¹ × 8923¹

Step-3: Factors of 98136

List of positive integer factors of 98136 that divides 98136 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 47, 58, 72, 87, 94, 116, 141, 174, 188, 232, 261, 282, 348, 376, 423, 522, 564, 696, 846, 1044, 1128, 1363, 1692, 2088, 2726, 3384, 4089, 5452, 8178, 10904, 12267, 16356, 24534, 32712, 49068

Step-4: Factors of 98153

List of positive integer factors of 98153 that divides 98136 without a remainder.

1, 11, 8923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98136 and 98153. The biggest common factor number is the GCF number.
So the greatest common factor 98136 and 98153 is 1.

Also check out the Least Common Multiple of 98136 and 98153