What is the Greatest Common Factor of 69124 and 69135?

Greatest common factor (GCF) of 69124 and 69135 is 11.

GCF(69124,69135) = 11

We will now calculate the prime factors of 69124 and 69135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69124 and 69135.

How to find the GCF of 69124 and 69135?

We will first find the prime factorization of 69124 and 69135. After we will calculate the factors of 69124 and 69135 and find the biggest common factor number .

Step-1: Prime Factorization of 69124

Prime factors of 69124 are 2, 11, 1571. Prime factorization of 69124 in exponential form is:

69124 = 2² × 11¹ × 1571¹

Step-2: Prime Factorization of 69135

Prime factors of 69135 are 3, 5, 11, 419. Prime factorization of 69135 in exponential form is:

69135 = 3¹ × 5¹ × 11¹ × 419¹

Step-3: Factors of 69124

List of positive integer factors of 69124 that divides 69124 without a remainder.

1, 2, 4, 11, 22, 44, 1571, 3142, 6284, 17281, 34562

Step-4: Factors of 69135

List of positive integer factors of 69135 that divides 69124 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 419, 1257, 2095, 4609, 6285, 13827, 23045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69124 and 69135. The biggest common factor number is the GCF number.
So the greatest common factor 69124 and 69135 is 11.

Also check out the Least Common Multiple of 69124 and 69135