What is the Greatest Common Factor of 39525 and 39542?

Greatest common factor (GCF) of 39525 and 39542 is 17.

GCF(39525,39542) = 17

We will now calculate the prime factors of 39525 and 39542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39525 and 39542.

How to find the GCF of 39525 and 39542?

We will first find the prime factorization of 39525 and 39542. After we will calculate the factors of 39525 and 39542 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 39542

Prime factors of 39542 are 2, 17, 1163. Prime factorization of 39542 in exponential form is:

39542 = 2¹ × 17¹ × 1163¹

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 39542

List of positive integer factors of 39542 that divides 39525 without a remainder.

1, 2, 17, 34, 1163, 2326, 19771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39525 and 39542. The biggest common factor number is the GCF number.
So the greatest common factor 39525 and 39542 is 17.

Also check out the Least Common Multiple of 39525 and 39542