What is the Greatest Common Factor of 37953 and 37960?

Greatest common factor (GCF) of 37953 and 37960 is 1.

GCF(37953,37960) = 1

We will now calculate the prime factors of 37953 and 37960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37953 and 37960.

How to find the GCF of 37953 and 37960?

We will first find the prime factorization of 37953 and 37960. After we will calculate the factors of 37953 and 37960 and find the biggest common factor number .

Step-1: Prime Factorization of 37953

Prime factors of 37953 are 3, 4217. Prime factorization of 37953 in exponential form is:

37953 = 3² × 4217¹

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 37953

List of positive integer factors of 37953 that divides 37953 without a remainder.

1, 3, 9, 4217, 12651

Step-4: Factors of 37960

List of positive integer factors of 37960 that divides 37953 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 37953 and 37960. The biggest common factor number is the GCF number.
So the greatest common factor 37953 and 37960 is 1.

Also check out the Least Common Multiple of 37953 and 37960