What is the Greatest Common Factor of 62146 and 62153?

Greatest common factor (GCF) of 62146 and 62153 is 7.

GCF(62146,62153) = 7

We will now calculate the prime factors of 62146 and 62153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62146 and 62153.

How to find the GCF of 62146 and 62153?

We will first find the prime factorization of 62146 and 62153. After we will calculate the factors of 62146 and 62153 and find the biggest common factor number .

Step-1: Prime Factorization of 62146

Prime factors of 62146 are 2, 7, 23, 193. Prime factorization of 62146 in exponential form is:

62146 = 2¹ × 7¹ × 23¹ × 193¹

Step-2: Prime Factorization of 62153

Prime factors of 62153 are 7, 13, 683. Prime factorization of 62153 in exponential form is:

62153 = 7¹ × 13¹ × 683¹

Step-3: Factors of 62146

List of positive integer factors of 62146 that divides 62146 without a remainder.

1, 2, 7, 14, 23, 46, 161, 193, 322, 386, 1351, 2702, 4439, 8878, 31073

Step-4: Factors of 62153

List of positive integer factors of 62153 that divides 62146 without a remainder.

1, 7, 13, 91, 683, 4781, 8879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62146 and 62153. The biggest common factor number is the GCF number.
So the greatest common factor 62146 and 62153 is 7.

Also check out the Least Common Multiple of 62146 and 62153