What is the Greatest Common Factor of 10132 and 10136?

Greatest common factor (GCF) of 10132 and 10136 is 4.

GCF(10132,10136) = 4

We will now calculate the prime factors of 10132 and 10136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10132 and 10136.

How to find the GCF of 10132 and 10136?

We will first find the prime factorization of 10132 and 10136. After we will calculate the factors of 10132 and 10136 and find the biggest common factor number .

Step-1: Prime Factorization of 10132

Prime factors of 10132 are 2, 17, 149. Prime factorization of 10132 in exponential form is:

10132 = 2² × 17¹ × 149¹

Step-2: Prime Factorization of 10136

Prime factors of 10136 are 2, 7, 181. Prime factorization of 10136 in exponential form is:

10136 = 2³ × 7¹ × 181¹

Step-3: Factors of 10132

List of positive integer factors of 10132 that divides 10132 without a remainder.

1, 2, 4, 17, 34, 68, 149, 298, 596, 2533, 5066

Step-4: Factors of 10136

List of positive integer factors of 10136 that divides 10132 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10132 and 10136. The biggest common factor number is the GCF number.
So the greatest common factor 10132 and 10136 is 4.

Also check out the Least Common Multiple of 10132 and 10136