What is the Greatest Common Factor of 42251 and 42264?

Greatest common factor (GCF) of 42251 and 42264 is 1.

GCF(42251,42264) = 1

We will now calculate the prime factors of 42251 and 42264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42251 and 42264.

How to find the GCF of 42251 and 42264?

We will first find the prime factorization of 42251 and 42264. After we will calculate the factors of 42251 and 42264 and find the biggest common factor number .

Step-1: Prime Factorization of 42251

Prime factors of 42251 are 11, 23, 167. Prime factorization of 42251 in exponential form is:

42251 = 11¹ × 23¹ × 167¹

Step-2: Prime Factorization of 42264

Prime factors of 42264 are 2, 3, 587. Prime factorization of 42264 in exponential form is:

42264 = 2³ × 3² × 587¹

Step-3: Factors of 42251

List of positive integer factors of 42251 that divides 42251 without a remainder.

1, 11, 23, 167, 253, 1837, 3841

Step-4: Factors of 42264

List of positive integer factors of 42264 that divides 42251 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 587, 1174, 1761, 2348, 3522, 4696, 5283, 7044, 10566, 14088, 21132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42251 and 42264. The biggest common factor number is the GCF number.
So the greatest common factor 42251 and 42264 is 1.

Also check out the Least Common Multiple of 42251 and 42264