What is the Greatest Common Factor of 69639 and 69657?

Greatest common factor (GCF) of 69639 and 69657 is 3.

GCF(69639,69657) = 3

We will now calculate the prime factors of 69639 and 69657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69639 and 69657.

How to find the GCF of 69639 and 69657?

We will first find the prime factorization of 69639 and 69657. After we will calculate the factors of 69639 and 69657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69657

Prime factors of 69657 are 3, 7, 31, 107. Prime factorization of 69657 in exponential form is:

69657 = 3¹ × 7¹ × 31¹ × 107¹

Step-3: Factors of 69639

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

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

Step-4: Factors of 69657

List of positive integer factors of 69657 that divides 69639 without a remainder.

1, 3, 7, 21, 31, 93, 107, 217, 321, 651, 749, 2247, 3317, 9951, 23219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69639 and 69657. The biggest common factor number is the GCF number.
So the greatest common factor 69639 and 69657 is 3.

Also check out the Least Common Multiple of 69639 and 69657