What is the Greatest Common Factor of 62140 and 62153?

Greatest common factor (GCF) of 62140 and 62153 is 13.

GCF(62140,62153) = 13

We will now calculate the prime factors of 62140 and 62153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62140 and 62153.

How to find the GCF of 62140 and 62153?

We will first find the prime factorization of 62140 and 62153. After we will calculate the factors of 62140 and 62153 and find the biggest common factor number .

Step-1: Prime Factorization of 62140

Prime factors of 62140 are 2, 5, 13, 239. Prime factorization of 62140 in exponential form is:

62140 = 2² × 5¹ × 13¹ × 239¹

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 62140

List of positive integer factors of 62140 that divides 62140 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 239, 260, 478, 956, 1195, 2390, 3107, 4780, 6214, 12428, 15535, 31070

Step-4: Factors of 62153

List of positive integer factors of 62153 that divides 62140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62140 and 62153. The biggest common factor number is the GCF number.
So the greatest common factor 62140 and 62153 is 13.

Also check out the Least Common Multiple of 62140 and 62153