What is the Greatest Common Factor of 42752 and 42769?

Greatest common factor (GCF) of 42752 and 42769 is 1.

GCF(42752,42769) = 1

We will now calculate the prime factors of 42752 and 42769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42752 and 42769.

How to find the GCF of 42752 and 42769?

We will first find the prime factorization of 42752 and 42769. After we will calculate the factors of 42752 and 42769 and find the biggest common factor number .

Step-1: Prime Factorization of 42752

Prime factors of 42752 are 2, 167. Prime factorization of 42752 in exponential form is:

42752 = 2⁸ × 167¹

Step-2: Prime Factorization of 42769

Prime factors of 42769 are 19, 2251. Prime factorization of 42769 in exponential form is:

42769 = 19¹ × 2251¹

Step-3: Factors of 42752

List of positive integer factors of 42752 that divides 42752 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 668, 1336, 2672, 5344, 10688, 21376

Step-4: Factors of 42769

List of positive integer factors of 42769 that divides 42752 without a remainder.

1, 19, 2251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42752 and 42769. The biggest common factor number is the GCF number.
So the greatest common factor 42752 and 42769 is 1.

Also check out the Least Common Multiple of 42752 and 42769