What is the Greatest Common Factor of 10147 and 10153?

Greatest common factor (GCF) of 10147 and 10153 is 1.

GCF(10147,10153) = 1

We will now calculate the prime factors of 10147 and 10153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10147 and 10153.

How to find the GCF of 10147 and 10153?

We will first find the prime factorization of 10147 and 10153. After we will calculate the factors of 10147 and 10153 and find the biggest common factor number .

Step-1: Prime Factorization of 10147

Prime factors of 10147 are 73, 139. Prime factorization of 10147 in exponential form is:

10147 = 73¹ × 139¹

Step-2: Prime Factorization of 10153

Prime factors of 10153 are 11, 13, 71. Prime factorization of 10153 in exponential form is:

10153 = 11¹ × 13¹ × 71¹

Step-3: Factors of 10147

List of positive integer factors of 10147 that divides 10147 without a remainder.

1, 73, 139

Step-4: Factors of 10153

List of positive integer factors of 10153 that divides 10147 without a remainder.

1, 11, 13, 71, 143, 781, 923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10147 and 10153. The biggest common factor number is the GCF number.
So the greatest common factor 10147 and 10153 is 1.

Also check out the Least Common Multiple of 10147 and 10153