What is the Greatest Common Factor of 65109 and 65124?

Greatest common factor (GCF) of 65109 and 65124 is 3.

GCF(65109,65124) = 3

We will now calculate the prime factors of 65109 and 65124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65109 and 65124.

How to find the GCF of 65109 and 65124?

We will first find the prime factorization of 65109 and 65124. After we will calculate the factors of 65109 and 65124 and find the biggest common factor number .

Step-1: Prime Factorization of 65109

Prime factors of 65109 are 3, 11, 1973. Prime factorization of 65109 in exponential form is:

65109 = 3¹ × 11¹ × 1973¹

Step-2: Prime Factorization of 65124

Prime factors of 65124 are 2, 3, 67. Prime factorization of 65124 in exponential form is:

65124 = 2² × 3⁵ × 67¹

Step-3: Factors of 65109

List of positive integer factors of 65109 that divides 65109 without a remainder.

1, 3, 11, 33, 1973, 5919, 21703

Step-4: Factors of 65124

List of positive integer factors of 65124 that divides 65109 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 81, 108, 134, 162, 201, 243, 268, 324, 402, 486, 603, 804, 972, 1206, 1809, 2412, 3618, 5427, 7236, 10854, 16281, 21708, 32562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65109 and 65124. The biggest common factor number is the GCF number.
So the greatest common factor 65109 and 65124 is 3.

Also check out the Least Common Multiple of 65109 and 65124