What is the Greatest Common Factor of 37452 and 37457?

Greatest common factor (GCF) of 37452 and 37457 is 1.

GCF(37452,37457) = 1

We will now calculate the prime factors of 37452 and 37457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37452 and 37457.

How to find the GCF of 37452 and 37457?

We will first find the prime factorization of 37452 and 37457. After we will calculate the factors of 37452 and 37457 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 37457

Prime factors of 37457 are 7, 5351. Prime factorization of 37457 in exponential form is:

37457 = 7¹ × 5351¹

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 37457

List of positive integer factors of 37457 that divides 37452 without a remainder.

1, 7, 5351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37452 and 37457. The biggest common factor number is the GCF number.
So the greatest common factor 37452 and 37457 is 1.

Also check out the Least Common Multiple of 37452 and 37457