What is the Greatest Common Factor of 37947 and 37960?

Greatest common factor (GCF) of 37947 and 37960 is 13.

GCF(37947,37960) = 13

We will now calculate the prime factors of 37947 and 37960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37947 and 37960.

How to find the GCF of 37947 and 37960?

We will first find the prime factorization of 37947 and 37960. After we will calculate the factors of 37947 and 37960 and find the biggest common factor number .

Step-1: Prime Factorization of 37947

Prime factors of 37947 are 3, 7, 13, 139. Prime factorization of 37947 in exponential form is:

37947 = 3¹ × 7¹ × 13¹ × 139¹

Step-2: Prime Factorization of 37960

Prime factors of 37960 are 2, 5, 13, 73. Prime factorization of 37960 in exponential form is:

37960 = 2³ × 5¹ × 13¹ × 73¹

Step-3: Factors of 37947

List of positive integer factors of 37947 that divides 37947 without a remainder.

1, 3, 7, 13, 21, 39, 91, 139, 273, 417, 973, 1807, 2919, 5421, 12649

Step-4: Factors of 37960

List of positive integer factors of 37960 that divides 37947 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 73, 104, 130, 146, 260, 292, 365, 520, 584, 730, 949, 1460, 1898, 2920, 3796, 4745, 7592, 9490, 18980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37947 and 37960. The biggest common factor number is the GCF number.
So the greatest common factor 37947 and 37960 is 13.

Also check out the Least Common Multiple of 37947 and 37960