What is the Greatest Common Factor of 37960 and 37973?

Greatest common factor (GCF) of 37960 and 37973 is 13.

GCF(37960,37973) = 13

We will now calculate the prime factors of 37960 and 37973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37960 and 37973.

How to find the GCF of 37960 and 37973?

We will first find the prime factorization of 37960 and 37973. After we will calculate the factors of 37960 and 37973 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37973

Prime factors of 37973 are 13, 23, 127. Prime factorization of 37973 in exponential form is:

37973 = 13¹ × 23¹ × 127¹

Step-3: Factors of 37960

List of positive integer factors of 37960 that divides 37960 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

Step-4: Factors of 37973

List of positive integer factors of 37973 that divides 37960 without a remainder.

1, 13, 23, 127, 299, 1651, 2921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37960 and 37973. The biggest common factor number is the GCF number.
So the greatest common factor 37960 and 37973 is 13.

Also check out the Least Common Multiple of 37960 and 37973