What is the Greatest Common Factor of 42532 and 42537?

Greatest common factor (GCF) of 42532 and 42537 is 1.

GCF(42532,42537) = 1

We will now calculate the prime factors of 42532 and 42537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42532 and 42537.

How to find the GCF of 42532 and 42537?

We will first find the prime factorization of 42532 and 42537. After we will calculate the factors of 42532 and 42537 and find the biggest common factor number .

Step-1: Prime Factorization of 42532

Prime factors of 42532 are 2, 7, 31. Prime factorization of 42532 in exponential form is:

42532 = 2² × 7³ × 31¹

Step-2: Prime Factorization of 42537

Prime factors of 42537 are 3, 11, 1289. Prime factorization of 42537 in exponential form is:

42537 = 3¹ × 11¹ × 1289¹

Step-3: Factors of 42532

List of positive integer factors of 42532 that divides 42532 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 343, 434, 686, 868, 1372, 1519, 3038, 6076, 10633, 21266

Step-4: Factors of 42537

List of positive integer factors of 42537 that divides 42532 without a remainder.

1, 3, 11, 33, 1289, 3867, 14179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42532 and 42537. The biggest common factor number is the GCF number.
So the greatest common factor 42532 and 42537 is 1.

Also check out the Least Common Multiple of 42532 and 42537