What is the Greatest Common Factor of 63042 and 63048?

Greatest common factor (GCF) of 63042 and 63048 is 6.

GCF(63042,63048) = 6

We will now calculate the prime factors of 63042 and 63048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63042 and 63048.

How to find the GCF of 63042 and 63048?

We will first find the prime factorization of 63042 and 63048. After we will calculate the factors of 63042 and 63048 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 63048

Prime factors of 63048 are 2, 3, 37, 71. Prime factorization of 63048 in exponential form is:

63048 = 2³ × 3¹ × 37¹ × 71¹

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 63048

List of positive integer factors of 63048 that divides 63042 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 71, 74, 111, 142, 148, 213, 222, 284, 296, 426, 444, 568, 852, 888, 1704, 2627, 5254, 7881, 10508, 15762, 21016, 31524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63042 and 63048. The biggest common factor number is the GCF number.
So the greatest common factor 63042 and 63048 is 6.

Also check out the Least Common Multiple of 63042 and 63048