What is the Greatest Common Factor of 37425 and 37429?

Greatest common factor (GCF) of 37425 and 37429 is 1.

GCF(37425,37429) = 1

We will now calculate the prime factors of 37425 and 37429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37425 and 37429.

How to find the GCF of 37425 and 37429?

We will first find the prime factorization of 37425 and 37429. After we will calculate the factors of 37425 and 37429 and find the biggest common factor number .

Step-1: Prime Factorization of 37425

Prime factors of 37425 are 3, 5, 499. Prime factorization of 37425 in exponential form is:

37425 = 3¹ × 5² × 499¹

Step-2: Prime Factorization of 37429

Prime factors of 37429 are 7, 5347. Prime factorization of 37429 in exponential form is:

37429 = 7¹ × 5347¹

Step-3: Factors of 37425

List of positive integer factors of 37425 that divides 37425 without a remainder.

1, 3, 5, 15, 25, 75, 499, 1497, 2495, 7485, 12475

Step-4: Factors of 37429

List of positive integer factors of 37429 that divides 37425 without a remainder.

1, 7, 5347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37425 and 37429. The biggest common factor number is the GCF number.
So the greatest common factor 37425 and 37429 is 1.

Also check out the Least Common Multiple of 37425 and 37429