What is the Greatest Common Factor of 69042 and 69048?

Greatest common factor (GCF) of 69042 and 69048 is 6.

GCF(69042,69048) = 6

We will now calculate the prime factors of 69042 and 69048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69042 and 69048.

How to find the GCF of 69042 and 69048?

We will first find the prime factorization of 69042 and 69048. After we will calculate the factors of 69042 and 69048 and find the biggest common factor number .

Step-1: Prime Factorization of 69042

Prime factors of 69042 are 2, 3, 37, 311. Prime factorization of 69042 in exponential form is:

69042 = 2¹ × 3¹ × 37¹ × 311¹

Step-2: Prime Factorization of 69048

Prime factors of 69048 are 2, 3, 7, 137. Prime factorization of 69048 in exponential form is:

69048 = 2³ × 3² × 7¹ × 137¹

Step-3: Factors of 69042

List of positive integer factors of 69042 that divides 69042 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 311, 622, 933, 1866, 11507, 23014, 34521

Step-4: Factors of 69048

List of positive integer factors of 69048 that divides 69042 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 137, 168, 252, 274, 411, 504, 548, 822, 959, 1096, 1233, 1644, 1918, 2466, 2877, 3288, 3836, 4932, 5754, 7672, 8631, 9864, 11508, 17262, 23016, 34524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69042 and 69048. The biggest common factor number is the GCF number.
So the greatest common factor 69042 and 69048 is 6.

Also check out the Least Common Multiple of 69042 and 69048