What is the Greatest Common Factor of 63042 and 63049?

Greatest common factor (GCF) of 63042 and 63049 is 7.

GCF(63042,63049) = 7

We will now calculate the prime factors of 63042 and 63049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63042 and 63049.

How to find the GCF of 63042 and 63049?

We will first find the prime factorization of 63042 and 63049. After we will calculate the factors of 63042 and 63049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63049

Prime factors of 63049 are 7, 9007. Prime factorization of 63049 in exponential form is:

63049 = 7¹ × 9007¹

Step-3: Factors of 63042

List of positive integer factors of 63042 that divides 63042 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

Step-4: Factors of 63049

List of positive integer factors of 63049 that divides 63042 without a remainder.

1, 7, 9007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63042 and 63049. The biggest common factor number is the GCF number.
So the greatest common factor 63042 and 63049 is 7.

Also check out the Least Common Multiple of 63042 and 63049