What is the Greatest Common Factor of 69146 and 69153?

Greatest common factor (GCF) of 69146 and 69153 is 7.

GCF(69146,69153) = 7

We will now calculate the prime factors of 69146 and 69153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69146 and 69153.

How to find the GCF of 69146 and 69153?

We will first find the prime factorization of 69146 and 69153. After we will calculate the factors of 69146 and 69153 and find the biggest common factor number .

Step-1: Prime Factorization of 69146

Prime factors of 69146 are 2, 7, 11, 449. Prime factorization of 69146 in exponential form is:

69146 = 2¹ × 7¹ × 11¹ × 449¹

Step-2: Prime Factorization of 69153

Prime factors of 69153 are 3, 7, 37, 89. Prime factorization of 69153 in exponential form is:

69153 = 3¹ × 7¹ × 37¹ × 89¹

Step-3: Factors of 69146

List of positive integer factors of 69146 that divides 69146 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 449, 898, 3143, 4939, 6286, 9878, 34573

Step-4: Factors of 69153

List of positive integer factors of 69153 that divides 69146 without a remainder.

1, 3, 7, 21, 37, 89, 111, 259, 267, 623, 777, 1869, 3293, 9879, 23051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69146 and 69153. The biggest common factor number is the GCF number.
So the greatest common factor 69146 and 69153 is 7.

Also check out the Least Common Multiple of 69146 and 69153