What is the Greatest Common Factor of 63023 and 63042?

Greatest common factor (GCF) of 63023 and 63042 is 19.

GCF(63023,63042) = 19

We will now calculate the prime factors of 63023 and 63042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63023 and 63042.

How to find the GCF of 63023 and 63042?

We will first find the prime factorization of 63023 and 63042. After we will calculate the factors of 63023 and 63042 and find the biggest common factor number .

Step-1: Prime Factorization of 63023

Prime factors of 63023 are 19, 31, 107. Prime factorization of 63023 in exponential form is:

63023 = 19¹ × 31¹ × 107¹

Step-2: Prime Factorization of 63042

Prime factors of 63042 are 2, 3, 7, 19, 79. Prime factorization of 63042 in exponential form is:

63042 = 2¹ × 3¹ × 7¹ × 19¹ × 79¹

Step-3: Factors of 63023

List of positive integer factors of 63023 that divides 63023 without a remainder.

1, 19, 31, 107, 589, 2033, 3317

Step-4: Factors of 63042

List of positive integer factors of 63042 that divides 63023 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 79, 114, 133, 158, 237, 266, 399, 474, 553, 798, 1106, 1501, 1659, 3002, 3318, 4503, 9006, 10507, 21014, 31521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63023 and 63042. The biggest common factor number is the GCF number.
So the greatest common factor 63023 and 63042 is 19.

Also check out the Least Common Multiple of 63023 and 63042