What is the Greatest Common Factor of 42252 and 42263?

Greatest common factor (GCF) of 42252 and 42263 is 1.

GCF(42252,42263) = 1

We will now calculate the prime factors of 42252 and 42263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42252 and 42263.

How to find the GCF of 42252 and 42263?

We will first find the prime factorization of 42252 and 42263. After we will calculate the factors of 42252 and 42263 and find the biggest common factor number .

Step-1: Prime Factorization of 42252

Prime factors of 42252 are 2, 3, 7, 503. Prime factorization of 42252 in exponential form is:

42252 = 2² × 3¹ × 7¹ × 503¹

Step-2: Prime Factorization of 42263

Prime factors of 42263 are 13, 3251. Prime factorization of 42263 in exponential form is:

42263 = 13¹ × 3251¹

Step-3: Factors of 42252

List of positive integer factors of 42252 that divides 42252 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 503, 1006, 1509, 2012, 3018, 3521, 6036, 7042, 10563, 14084, 21126

Step-4: Factors of 42263

List of positive integer factors of 42263 that divides 42252 without a remainder.

1, 13, 3251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42252 and 42263. The biggest common factor number is the GCF number.
So the greatest common factor 42252 and 42263 is 1.

Also check out the Least Common Multiple of 42252 and 42263