What is the Greatest Common Factor of 68619 and 68625?

Greatest common factor (GCF) of 68619 and 68625 is 3.

GCF(68619,68625) = 3

We will now calculate the prime factors of 68619 and 68625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68619 and 68625.

How to find the GCF of 68619 and 68625?

We will first find the prime factorization of 68619 and 68625. After we will calculate the factors of 68619 and 68625 and find the biggest common factor number .

Step-1: Prime Factorization of 68619

Prime factors of 68619 are 3, 89, 257. Prime factorization of 68619 in exponential form is:

68619 = 3¹ × 89¹ × 257¹

Step-2: Prime Factorization of 68625

Prime factors of 68625 are 3, 5, 61. Prime factorization of 68625 in exponential form is:

68625 = 3² × 5³ × 61¹

Step-3: Factors of 68619

List of positive integer factors of 68619 that divides 68619 without a remainder.

1, 3, 89, 257, 267, 771, 22873

Step-4: Factors of 68625

List of positive integer factors of 68625 that divides 68619 without a remainder.

1, 3, 5, 9, 15, 25, 45, 61, 75, 125, 183, 225, 305, 375, 549, 915, 1125, 1525, 2745, 4575, 7625, 13725, 22875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68619 and 68625. The biggest common factor number is the GCF number.
So the greatest common factor 68619 and 68625 is 3.

Also check out the Least Common Multiple of 68619 and 68625