What is the Greatest Common Factor of 37452 and 37460?

Greatest common factor (GCF) of 37452 and 37460 is 4.

GCF(37452,37460) = 4

We will now calculate the prime factors of 37452 and 37460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37452 and 37460.

How to find the GCF of 37452 and 37460?

We will first find the prime factorization of 37452 and 37460. After we will calculate the factors of 37452 and 37460 and find the biggest common factor number .

Step-1: Prime Factorization of 37452

Prime factors of 37452 are 2, 3, 3121. Prime factorization of 37452 in exponential form is:

37452 = 2² × 3¹ × 3121¹

Step-2: Prime Factorization of 37460

Prime factors of 37460 are 2, 5, 1873. Prime factorization of 37460 in exponential form is:

37460 = 2² × 5¹ × 1873¹

Step-3: Factors of 37452

List of positive integer factors of 37452 that divides 37452 without a remainder.

1, 2, 3, 4, 6, 12, 3121, 6242, 9363, 12484, 18726

Step-4: Factors of 37460

List of positive integer factors of 37460 that divides 37452 without a remainder.

1, 2, 4, 5, 10, 20, 1873, 3746, 7492, 9365, 18730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37452 and 37460. The biggest common factor number is the GCF number.
So the greatest common factor 37452 and 37460 is 4.

Also check out the Least Common Multiple of 37452 and 37460