What is the Greatest Common Factor of 69048 and 69052?

Greatest common factor (GCF) of 69048 and 69052 is 4.

GCF(69048,69052) = 4

We will now calculate the prime factors of 69048 and 69052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69048 and 69052.

How to find the GCF of 69048 and 69052?

We will first find the prime factorization of 69048 and 69052. After we will calculate the factors of 69048 and 69052 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 69052

Prime factors of 69052 are 2, 61, 283. Prime factorization of 69052 in exponential form is:

69052 = 2² × 61¹ × 283¹

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 69052

List of positive integer factors of 69052 that divides 69048 without a remainder.

1, 2, 4, 61, 122, 244, 283, 566, 1132, 17263, 34526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69048 and 69052. The biggest common factor number is the GCF number.
So the greatest common factor 69048 and 69052 is 4.

Also check out the Least Common Multiple of 69048 and 69052