What is the Greatest Common Factor of 13962 and 13975?

Greatest common factor (GCF) of 13962 and 13975 is 13.

GCF(13962,13975) = 13

We will now calculate the prime factors of 13962 and 13975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13962 and 13975.

How to find the GCF of 13962 and 13975?

We will first find the prime factorization of 13962 and 13975. After we will calculate the factors of 13962 and 13975 and find the biggest common factor number .

Step-1: Prime Factorization of 13962

Prime factors of 13962 are 2, 3, 13, 179. Prime factorization of 13962 in exponential form is:

13962 = 2¹ × 3¹ × 13¹ × 179¹

Step-2: Prime Factorization of 13975

Prime factors of 13975 are 5, 13, 43. Prime factorization of 13975 in exponential form is:

13975 = 5² × 13¹ × 43¹

Step-3: Factors of 13962

List of positive integer factors of 13962 that divides 13962 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 179, 358, 537, 1074, 2327, 4654, 6981

Step-4: Factors of 13975

List of positive integer factors of 13975 that divides 13962 without a remainder.

1, 5, 13, 25, 43, 65, 215, 325, 559, 1075, 2795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13962 and 13975. The biggest common factor number is the GCF number.
So the greatest common factor 13962 and 13975 is 13.

Also check out the Least Common Multiple of 13962 and 13975