What is the Greatest Common Factor of 69048 and 69067?

Greatest common factor (GCF) of 69048 and 69067 is 1.

GCF(69048,69067) = 1

We will now calculate the prime factors of 69048 and 69067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69048 and 69067.

How to find the GCF of 69048 and 69067?

We will first find the prime factorization of 69048 and 69067. After we will calculate the factors of 69048 and 69067 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69067

Prime factors of 69067 are 69067. Prime factorization of 69067 in exponential form is:

69067 = 69067¹

Step-3: Factors of 69048

List of positive integer factors of 69048 that divides 69048 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

Step-4: Factors of 69067

List of positive integer factors of 69067 that divides 69048 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69048 and 69067. The biggest common factor number is the GCF number.
So the greatest common factor 69048 and 69067 is 1.

Also check out the Least Common Multiple of 69048 and 69067