What is the Greatest Common Factor of 39525 and 39538?

Greatest common factor (GCF) of 39525 and 39538 is 1.

GCF(39525,39538) = 1

We will now calculate the prime factors of 39525 and 39538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39525 and 39538.

How to find the GCF of 39525 and 39538?

We will first find the prime factorization of 39525 and 39538. After we will calculate the factors of 39525 and 39538 and find the biggest common factor number .

Step-1: Prime Factorization of 39525

Prime factors of 39525 are 3, 5, 17, 31. Prime factorization of 39525 in exponential form is:

39525 = 3¹ × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 39538

Prime factors of 39538 are 2, 53, 373. Prime factorization of 39538 in exponential form is:

39538 = 2¹ × 53¹ × 373¹

Step-3: Factors of 39525

List of positive integer factors of 39525 that divides 39525 without a remainder.

1, 3, 5, 15, 17, 25, 31, 51, 75, 85, 93, 155, 255, 425, 465, 527, 775, 1275, 1581, 2325, 2635, 7905, 13175

Step-4: Factors of 39538

List of positive integer factors of 39538 that divides 39525 without a remainder.

1, 2, 53, 106, 373, 746, 19769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39525 and 39538. The biggest common factor number is the GCF number.
So the greatest common factor 39525 and 39538 is 1.

Also check out the Least Common Multiple of 39525 and 39538