What is the Greatest Common Factor of 69630 and 69639?

Greatest common factor (GCF) of 69630 and 69639 is 3.

GCF(69630,69639) = 3

We will now calculate the prime factors of 69630 and 69639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69630 and 69639.

How to find the GCF of 69630 and 69639?

We will first find the prime factorization of 69630 and 69639. After we will calculate the factors of 69630 and 69639 and find the biggest common factor number .

Step-1: Prime Factorization of 69630

Prime factors of 69630 are 2, 3, 5, 11, 211. Prime factorization of 69630 in exponential form is:

69630 = 2¹ × 3¹ × 5¹ × 11¹ × 211¹

Step-2: Prime Factorization of 69639

Prime factors of 69639 are 3, 139, 167. Prime factorization of 69639 in exponential form is:

69639 = 3¹ × 139¹ × 167¹

Step-3: Factors of 69630

List of positive integer factors of 69630 that divides 69630 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 211, 330, 422, 633, 1055, 1266, 2110, 2321, 3165, 4642, 6330, 6963, 11605, 13926, 23210, 34815

Step-4: Factors of 69639

List of positive integer factors of 69639 that divides 69630 without a remainder.

1, 3, 139, 167, 417, 501, 23213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69630 and 69639. The biggest common factor number is the GCF number.
So the greatest common factor 69630 and 69639 is 3.

Also check out the Least Common Multiple of 69630 and 69639