What is the Greatest Common Factor of 75621 and 75639?

Greatest common factor (GCF) of 75621 and 75639 is 3.

GCF(75621,75639) = 3

We will now calculate the prime factors of 75621 and 75639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75621 and 75639.

How to find the GCF of 75621 and 75639?

We will first find the prime factorization of 75621 and 75639. After we will calculate the factors of 75621 and 75639 and find the biggest common factor number .

Step-1: Prime Factorization of 75621

Prime factors of 75621 are 3, 7, 13, 277. Prime factorization of 75621 in exponential form is:

75621 = 3¹ × 7¹ × 13¹ × 277¹

Step-2: Prime Factorization of 75639

Prime factors of 75639 are 3, 19, 1327. Prime factorization of 75639 in exponential form is:

75639 = 3¹ × 19¹ × 1327¹

Step-3: Factors of 75621

List of positive integer factors of 75621 that divides 75621 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 277, 831, 1939, 3601, 5817, 10803, 25207

Step-4: Factors of 75639

List of positive integer factors of 75639 that divides 75621 without a remainder.

1, 3, 19, 57, 1327, 3981, 25213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75621 and 75639. The biggest common factor number is the GCF number.
So the greatest common factor 75621 and 75639 is 3.

Also check out the Least Common Multiple of 75621 and 75639